Common Core Standard 7.NS.A.3-decimal
This standard covers the following:
Solve real-world and mathematical problems involving the four operations with rational numbers.
Problem: A teacher has a stack of papers that is 12.7 cm high. She adds another stack of papers that is 4.2 cm high to the existing pile. Afterwards, she distributes 2.144 cm worth of papers to her students. How tall is the stack of papers now?
Gemini-1.5 Pro:
Reasoning: Combined, the two stacks of papers are 12.7 cm + 4.2 cm = <<12.7+4.2=16.9>>16.9 cm high. After distributing some papers, the stack is 16.9 cm - 2.144 cm = <<16.9-2.144=14.756>>14.756 cm tall. ### Answer: 14.756 cm
Expected answer: 14.7560000000000
Correct? Yes
Problem: After she distributed the papers, the teacher received 9.888 cm worth of new papers for grading. How tall is her stack of papers now?
Gemini-1.5 Pro:
Reasoning: With the new papers, the stack's height increases to 14.756 cm + 9.888 cm = <<14.756+9.888=24.644>>24.644 cm. ### Answer: 24.644 cm
Expected answer: 24.6440000000000
Correct? Yes
Problem: Originally, the teacher had a pile of papers that was 13 cm high instead of 12.7 cm. She still adds another stack of 4.2 cm high, and distributes 2.144 cm worth of papers to her students. How tall is the stack of papers now?
Gemini-1.5 Pro:
Reasoning: Combined, the two stacks of papers are 13 cm + 4.2 cm = <<13+4.2=17.2>>17.2 cm high. After distributing some papers, the stack is 17.2 cm - 2.144 cm = <<17.2-2.144=15.056>>15.056 cm tall. ### Answer: 15.056 cm
Expected answer: 15.0560000000000
Correct? Yes
Problem: A dragon flew a total distance of 24.02 km in a day. However, it had to backtrack 1.3 km due to a severe storm. How many kilometers did the dragon travel in the end?
Gemini-1.5 Pro:
Reasoning: The dragon actually flew 24.02 - 1.3 = <<24.02-1.3=22.72>>22.72 km. ### Answer: 22.72 km
Expected answer: 22.7200000000000
Correct? Yes
Problem: If the dragon initially planned to fly 13 km in the day instead of 24.02 km, but still had to backtrack 1.3 km due to the severe storm, how many kilometers would the dragon have traveled then?
Gemini-1.5 Pro:
Reasoning: The dragon would have flown 13 - 1.3 = <<13-1.3=11.7>>11.7 km if its initial plan was to fly 13 km. ### Answer: 11.7 km
Expected answer: 11.7000000000000
Correct? Yes
Problem: An elephant weighs 12.1 tons in the morning and gains 15.68 tons throughout the day from eating. What is the elephant's total weight by the end of the day?
Gemini-1.5 Pro:
Reasoning: To find the elephant's total weight at the end of the day, we add the weight gained to the morning weight: 12.1 tons + 15.68 tons = 27.78 tons ### Answer: 27.78 tons
Expected answer: 27.7800000000000
Correct? Yes
Problem: The elephant from the previous question then burns off 5.935 tons of weight. What is the elephant's weight now?
Gemini-1.5 Pro:
Reasoning: To find the elephant's weight after burning off weight, we subtract the weight loss from its weight at the end of the day: 27.78 tons - 5.935 tons = 21.845 tons ### Answer: 21.845 tons
Expected answer: 21.8450000000000
Correct? Yes
Problem: A certain breed of mouse can eat up to 29.573 grams of food a day. However, one day it only eats 4.62 grams less than what it usually eats. How much does it eat on that day?
Gemini-1.5 Pro:
Reasoning: The mouse eats 29.573 - 4.62 = <<29.573-4.62=24.953>>24.953 grams of food on that day. ### Answer: 24.953 grams
Expected answer: 24.9530000000000
Correct? Yes
Problem: Given the same situation, if the mouse initially tends to eat 27 grams of food, but on that particular day, it eats 4.62 grams less than its usual intake. How much food does it eat on that day?
Gemini-1.5 Pro:
Reasoning: The mouse eats 27 - 4.62 = <<27-4.62=22.38>>22.38 grams of food on that day. ### Answer: 22.38 grams
Expected answer: 22.3800000000000
Correct? Yes
Problem: In a zoo, thereβs a baby giraffe that is 1.4 meters tall. If it grows another 5.7 meters, how tall will the giraffe be?
Gemini-1.5 Pro:
Reasoning: We need to add the giraffe's current height to its growth to find its final height: 1.4 meters + 5.7 meters = 7.1 meters. ### Answer: 7.1 meters
Expected answer: 7.10000000000000
Correct? Yes
Problem: In a zoo, thereβs a baby giraffe that is 1.4 meters tall. If it grows another 5.7 meters, it will reach a certain height. Now, if this grown giraffe stretches its neck further and adds another 12.608 meters to its height, how tall will the giraffe be then?
Gemini-1.5 Pro:
Reasoning: First find the giraffe's height after it grows: 1.4 meters + 5.7 meters = 7.1 meters. Then add the additional height from the stretched neck: 7.1 meters + 12.608 meters = 19.708 meters. ### Answer: 19.708 meters
Expected answer: 19.7080000000000
Correct? Yes
Problem: In another zoo, there is a full-grown giraffe that measures an impressive 23 meters. If the giraffe stretches its neck and grows another 5.7 meters, how tall will the giraffe be then?
Gemini-1.5 Pro:
Reasoning: To find the giraffe's total height after stretching its neck, we need to add its original height to the additional length: 23 meters + 5.7 meters = 28.7 meters. ### Answer: 28.7 meters
Expected answer: 28.7000000000000
Correct? Yes
Problem: An astronaut is floating in space and generates an isotopic energy reading of 24.178 units per second. If he keeps this energy level constant for 1.0 second, how much energy does he generate in total?
Gemini-1.5 Pro:
Reasoning: Since the energy generation is constant, the total energy generated is simply the rate of energy generation multiplied by the time. Therefore, the total energy generated is 24.178 units/second * 1.0 second = 24.178 units. ### Answer: 24.178 units.
Expected answer: 24.1780000000000
Correct? Yes
Problem: After generating an isotopic energy reading of 24.178 units for 1.0 second, the astronaut decides to boost his energy output by an additional 4.995 units. What is the new total amount of energy he generates?
Gemini-1.5 Pro:
Reasoning: To find the new total energy output, we need to add the energy boost to his original energy output. That means adding his original output of 24.178 units to his boost of 4.995 units. Therefore, his new total energy output is 24.178 units + 4.995 units = 29.173 units. ### Answer: 29.173 units.
Expected answer: 29.1730000000000
Correct? Yes
Problem: If instead of generating an isotopic energy reading of 24.178 units per second, the astronaut was initially generating 23 units per second for 1.0 second, what would the total energy output be then?
Gemini-1.5 Pro:
Reasoning: Similar to before, the total energy output is the rate of energy generation multiplied by the time. In this case, it would be 23 units/second * 1.0 second = 23 units. ### Answer: 23 units.
Expected answer: 23.0000000000000
Correct? Yes
Problem: A treasure chest holds 25.84 kilograms of gold. However, 2.876 kilograms of it is stolen. How much gold is left in the chest?
Gemini-1.5 Pro:
Reasoning: We need to subtract the weight of the stolen gold from the original weight: 25.84 kg - 2.876 kg = 22.964 kg. ### Answer: 22.964 kg
Expected answer: 22.9640000000000
Correct? Yes
Problem: After some recalculations, it was discovered that the treasure chest initially held 17 kilograms of gold instead of 25.84 kilograms. With 2.876 kilograms stolen, how much gold is left in the chest now?
Gemini-1.5 Pro:
Reasoning: We subtract the weight of the stolen gold from the corrected initial weight: 17 kg - 2.876 kg = 14.124 kg ### Answer: 14.124 kg
Expected answer: 14.1240000000000
Correct? Yes
Problem: A breed of dog grows 15.7 inches tall and a different breed grows 4.9 inches more. How tall is the taller dog?
Gemini-1.5 Pro:
Reasoning: The taller dog grows 15.7 + 4.9 = <<15.7+4.9=20.6>>20.6 inches tall. ### Answer: 20.6 inches tall
Expected answer: 20.6000000000000
Correct? Yes
Problem: In addition to the previous question: The taller dog then bends over to pick up a toy, at which point its height decreases by 2.865 inches. How tall is the dog when it is bending over?
Gemini-1.5 Pro:
Reasoning: The taller dog's height decreases to 20.6 - 2.865 = <<20.6-2.865 = 17.735>>17.735 inches. ### Answer: 17.735 inches
Expected answer: 17.7350000000000
Correct? Yes
Problem: If instead of growing 4.9 inches more, the different breed of dog only grew 1 inch more than the 15.7 inches tall dog, how tall would this different breed of dog be?
Gemini-1.5 Pro:
Reasoning: This different breed of dog would be 15.7 + 1 = <<15.7+1=16.7>>16.7 inches tall. ### Answer: 16.7 inches tall
Expected answer: 16.7000000000000
Correct? Yes
Problem: A ball weighs 21.985 grams. If another identical ball weighs 25.3 grams but has lost some weight to become equal to the first ball, how much weight has the second ball lost? If we add 8.0 grams to the lost weight, what will be the total?
Gemini-1.5 Pro:
Reasoning: The second ball lost 25.3 - 21.985 = <<25.3-21.985=3.315>>3.315 grams of weight to become equal to the first ball. Adding 8.0 grams to the lost weight gives us 3.315 + 8.0 = <<3.315+8.0=11.315>>11.315 grams. ### Answer: 11.315 grams.
Expected answer: 11.3150000000000
Correct? Yes
Problem: At the beginning of his shift, a firefighter checks the fuel levels for two firetrucks. One truck has 9.155 gallons of fuel and the other has 5.540 gallons of fuel. After refueling both trucks, he adds an additional 9.03 gallons. What is the total amount of fuel in gallons after the firefighter refueled both trucks?
Gemini-1.5 Pro:
Reasoning: First find the total amount of fuel in both trucks before refueling: 9.155 gallons + 5.540 gallons = 14.695 gallons. Then add the amount of fuel added to find the total amount of fuel after refueling: 14.695 gallons + 9.03 gallons = 23.725 gallons ### Answer: 23.725 gallons
Expected answer: 23.7250000000000
Correct? Yes
Problem: After a few hours, one of the firetrucks responds to a call and uses 15.7 gallons of its fuel. How many gallons of fuel are left across both firetrucks after this call?
Gemini-1.5 Pro:
Reasoning: We start with the total amount of fuel in both trucks: 23.725 gallons. Then we subtract the fuel used during the call to find the remaining amount: 23.725 gallons - 15.7 gallons = 8.025 gallons. ### Answer: 8.025 gallons
Expected answer: 8.02500000000000
Correct? Yes
Problem: In a reassessment of the fuel levels, it was determined that one of the firetrucks originally had 8 gallons of fuel instead of 9.155 gallons. Keeping everything else constant, what would have been the total amount of fuel in gallons after the firefighter refueled both trucks in this case?
Gemini-1.5 Pro:
Reasoning: First find the initial total fuel: 8 gallons + 5.540 gallons = 13.540 gallons. Then add the refueled amount to find the final total fuel: 13.540 gallons + 9.03 gallons = 22.57 gallons. ### Answer: 22.57 gallons
Expected answer: 22.5700000000000
Correct? Yes
Problem: A sunflower stem measures 23.57 cm at its longest but due to insufficient sunlight it shrunk to 11.58 cm. How much did the sunflower stem shrink?
Gemini-1.5 Pro:
Reasoning: To find out how much the sunflower stem shrunk, we need to subtract the new height from the original height: 23.57 cm - 11.58 cm = 11.99 cm. ### Answer: 11.99 cm
Expected answer: 11.9900000000000
Correct? Yes
Problem: Let's re-examine the sunflower stem scenario. Originally, we stated it shrunk from 23.57 cm to 11.58 cm due to insufficient sunlight. Suppose instead, its only shrank to 9 cm instead of 11.58 cm. How much did the sunflower stem shrink now?
Gemini-1.5 Pro:
Reasoning: We need to find the difference between the original height (23.57 cm) and the final height (9 cm): 23.57 cm - 9 cm = 14.57 cm. ### Answer: 14.57 cm
Expected answer: 14.5700000000000
Correct? Yes
Problem: A scented candle is usually priced at $18.77 but today it is discounted by $4.016. What is the current price of the scented candle?
Gemini-1.5 Pro:
Reasoning: The current price is $18.77-$4.016 = $<<18.77-4.016=14.754>>14.754 ### Answer: $14.754
Expected answer: 14.7540000000000
Correct? Yes
Problem: After buying the discounted candle, Helen realized she had a coupon that subtracts another $8.49 from her total payment. How much is the final price she has to pay for the candle after applying the coupon?
Gemini-1.5 Pro:
Reasoning: The final price is $14.754 - $8.49 = $<<14.754-8.49=6.264>>6.264 ### Answer: $6.264
Expected answer: 6.26400000000000
Correct? Yes
Problem: Recalling the previous scenario, let's imagine that initially, the scented candle was priced at $18.77, but today it's on a bigger discount of $9 instead of $4.016. What would be the current price of the scented candle with the bigger discount?
Gemini-1.5 Pro:
Reasoning: The current price is $18.77 - $9.00 = $<<18.77-9=9.77>>9.77 ### Answer: $9.77
Expected answer: 9.77000000000000
Correct? Yes
Problem: In a forest, there are 3.9km of northern trails and 7.4km of southern trails. If the total distance of all trails in the forest is 17.9km, how many kilometres of trails are not part of the northern or southern trails?
Gemini-1.5 Pro:
Reasoning: The total length of northern and southern trails is 3.9 + 7.4 = <<3.9+7.4 = 11.3>> 11.3 km. Therefore, 17.9 - 11.3 = <<17.9-11.3 = 6.6>> 6.6 km of trails are not part of the northern or southern trails. ### Answer: 6.6 km
Expected answer: 6.60000000000000
Correct? Yes
Problem: Upon reevaluating the forest trails, it was found that the length of the southern trails was actually 11km instead of 7.4km. Keeping the length of the northern trails and the total distance of all trails the same, how many kilometres of trails are not part of the northern or southern trails now?
Gemini-1.5 Pro:
Reasoning: The total length of northern and southern trails is now 3.9 + 11 = <<3.9+11 = 14.9>> 14.9 km. Therefore, 17.9 - 14.9 = <<17.9-14.9 = 3>> 3 km of trails are not part of the northern or southern trails now. ### Answer: 3 km
Expected answer: 3.00000000000000
Correct? Yes
Problem: A baby weighed 4.8 pounds at birth. After a few weeks, the baby gained 15.67 pounds. The baby's weight increased again by 6.5 pounds a few months later. What is the baby's weight now?
Gemini-1.5 Pro:
Reasoning: The baby's weight after a few weeks: 4.8 + 15.67 = 20.47 pounds. The baby's current weight is: 20.47 + 6.5 = 26.97 pounds. ### Answer: 26.97 pounds.
Expected answer: 26.9700000000000
Correct? Yes
Problem: Previously, the baby's weight increased by 15.67 pounds a few weeks after birth. Suppose instead, the baby gained 11 pounds after a few weeks. The baby's weight still increased by 6.5 pounds a few months later. What would be the baby's weight now in this scenario?
Gemini-1.5 Pro:
Reasoning: The baby's weight after a few weeks: 4.8 + 11 = 15.8 pounds. The baby's current weight is: 15.8 + 6.5 = 22.3 pounds. ### Answer: 22.3 pounds.
Expected answer: 22.3000000000000
Correct? Yes
Problem: Astronomer Tom has a powerful telescope with a focal length of 22.5 centimeters. He uses an eyepiece that extends the focal length by another 1.832 centimeters. What is the total length of his telescope?
Gemini-1.5 Pro:
Reasoning: To find the total length, we need to add the focal length of the telescope to the additional length provided by the eyepiece: 22.5 centimeters + 1.832 centimeters = 24.332 centimeters. ### Answer: 24.332 centimeters.
Expected answer: 24.3320000000000
Correct? Yes
Problem: With further calibration, Astronomer Tom realized the eyepiece only extends the telescope's focal length by an additional 2 centimeters, instead of the previous 1.832 centimeters. Considering this, what would be the new total focal length of his telescope?
Gemini-1.5 Pro:
Reasoning: We add this new eyepiece extension to the telescope's original focal length: 22.5 centimeters + 2 centimeters = 24.5 centimeters. ### Answer: 24.5 centimeters.
Expected answer: 24.5000000000000
Correct? Yes
Problem: A window has a width of 17.9 inches and an additional length of 1.5 inches for the frame. What is the total width of the window including the frame?
Gemini-1.5 Pro:
Reasoning: The frame adds 1.5 inches to both sides of the window's width. Therefore, the total width is 17.9 + 1.5 + 1.5 = <<17.9+1.5+1.5=20.9>>20.9 inches. ### Answer: 20.9 inches.
Expected answer: 19.4000000000000
Correct? No
Problem: Your pen has 5.1ml of ink when it's new. If you add 22.4ml of ink into the pen, how much ink does the pen have in total?
Gemini-1.5 Pro:
Reasoning: To find the total amount of ink, we add the initial amount to the amount added. That's 5.1ml + 22.4ml = 27.5ml ### Answer: 27.5ml
Expected answer: 27.5000000000000
Correct? Yes
Problem: Suppose instead of starting with 5.1ml of ink in your pen, you started with 2ml of ink and then added 22.4ml of ink. How much ink does your pen have in total now?
Gemini-1.5 Pro:
Reasoning: We need to add the initial amount of ink to the amount added: 2ml + 22.4ml = 24.4ml ### Answer: 24.4ml
Expected answer: 24.4000000000000
Correct? Yes
Problem: The perimeter of a square is found by adding the lengths of all its sides. If three sides of a square measure 15.4 cm in total, and the length of the remaining side is 1.828 cm, what is the total perimeter of the square?
Gemini-1.5 Pro:
Reasoning: The total perimeter of the square is the sum of the lengths of all four sides, which is 15.4 cm + 1.828 cm = 17.228 cm. ### Answer: 17.228 cm
Expected answer: 17.2280000000000
Correct? Yes
Problem: In addition to the square, there is a small rectangular tag attached to it. If the tag measures 2.114 cm in length, what is the combined length of the square's perimeter and the tag?
Gemini-1.5 Pro:
Reasoning: The combined length of the square's perimeter and the tag is 17.228 cm + 2.114 cm = 19.342 cm. ### Answer: 19.342 cm
Expected answer: 19.3420000000000
Correct? Yes
Problem: If instead of the original total length of three sides of the square being 15.4 cm, it was 24 cm, and the remaining side still measures 1.828 cm, what would then be the total perimeter of the square?
Gemini-1.5 Pro:
Reasoning: Even though we know the measurement of three sides and the fourth side, a square, by definition, has 4 sides of equal length. Therefore, we can disregard the lengths of the other three sides, as they are irrelevant in this case. The total perimeter is found by multiplying the length of one side by the number of sides: 1.828 cm/side * 4 sides = 7.312 cm. ### Answer: 7.312 cm
Expected answer: 25.8280000000000
Correct? No
Problem: In a document, a paragraph has 12.244 words. If we add the number of words in this paragraph to a similar one, then how many words do the two paragraphs have in total?
Gemini-1.5 Pro:
Reasoning: Two similar paragraphs have the same number of words, so the total number of words in the two paragraphs is 12.244 * 2 = <<12.244*2=24.488>>24.488. ### Answer: 24.488
Expected answer: 24.4880000000000
Correct? Yes
Problem: Having considered the paragraph with 12.244 words, let's say that instead, a paragraph contains 7 words. If we add these words to a similar paragraph, then how many words do the two paragraphs have in total?
Gemini-1.5 Pro:
Reasoning: Two similar paragraphs have the same number of words, so the total number of words in the two paragraphs is 7*2 = <<7*2=14>>14 ### Answer: 14
Expected answer: 14
Correct? Yes
Problem: In a letter writing competition, one of the participants wrote a letter having a length of 29.82 pages. However, the rules require only a maximum of 24.2 pages. How many extra pages did the participant write compared to the maximum limit?
Gemini-1.5 Pro:
Reasoning: The participant wrote 29.82 - 24.2 = <<29.82-24.2=5.62>>5.62 extra pages. ### Answer: 5.62
Expected answer: 5.62000000000000
Correct? Yes
Problem: Following the previous scenario, imagine if the participant had initially written 29.82 pages, but this time he decided to reduce it down to 28 pages. How many pages did he have to exclude from his letter in this scenario?
Gemini-1.5 Pro:
Reasoning: The participant had to exclude 29.82 - 28 = <<29.82-28=1.82>>1.82 pages from his letter. ### Answer: 1.82
Expected answer: 1.82000000000000
Correct? Yes
Problem: At the zoo, a lion weights 28.32 pounds but loses 21.88 pounds. After gaining 3.4 pounds, what is the lion's new weight?
Gemini-1.5 Pro:
Reasoning: The lion is 28.32-21.88 = <<28.32-21.88=6.44>>6.44 pounds after losing weight. The lion is now 6.44+3.4 = <<6.44+3.4=9.84>>9.84 pounds after gaining weight. ### Answer: 9.84 pounds
Expected answer: 9.84000000000000
Correct? Yes
Problem: In addition to the lion's new weight, a baby lion weighs 16.97 pounds. What is the total weight of both the lion and the baby lion?
Gemini-1.5 Pro:
Reasoning: The lion weighs 9.84 pounds and the baby lion weighs 16.97 pounds so their total weight is 9.84+16.97 = <<9.84+16.97=26.81>>26.81 pounds. ### Answer: 26.81 pounds
Expected answer: 26.8100000000000
Correct? Yes
Problem: In the previous scenario, if the lion initially weighed 28.32 pounds but loses 14 pounds instead, and still gains 3.4 pounds afterwards, what would be the lion's new weight then?
Gemini-1.5 Pro:
Reasoning: The lion is 28.32 - 14 = <<28.32-14 = 14.32>>14.32 pounds after losing weight. The lion is now 14.32 + 3.4 = <<14.32+3.4 = 17.72>>17.72 pounds after gaining weight. ### Answer: 17.72 pounds
Expected answer: 17.7200000000000
Correct? Yes
Problem: Last month, it rained an average of 3.645 inches per day. Today's rainfall is increased by 3.741 inches. How much rain was there in inches today?
Gemini-1.5 Pro:
Reasoning: We need to add today's increase in rainfall to the average rainfall to find the total rainfall today. That means today's rainfall is 3.645 + 3.741 = <<3.645+3.741=7.386>>7.386 inches. ### Answer: 7.386 inches.
Expected answer: 7.38600000000000
Correct? Yes
Problem: Continuing from the last scenario: After the increase in the daily rainfall today, an additional 4.51 inches of rain fell tonight. How much total rainfall was there today in inches?
Gemini-1.5 Pro:
Reasoning: We need to add the additional rainfall tonight to the total rainfall from today, which was 7.386 inches. So the total rainfall today is 7.386 + 4.51 = <<7.386+4.51=11.896>>11.896 inches. ### Answer: 11.896 inches.
Expected answer: 11.8960000000000
Correct? Yes
Problem: A window has a length of 1.7 meters and a height of 9.448 meters. A larger window has its length equal to the length and height of the smaller window combined and an extra height of 7.619 meters. What is the total length and height of the larger window?
Gemini-1.5 Pro:
Reasoning: First find the total length of the larger window: 1.7 meters + 9.448 meters = 11.148 meters Then add the extra height to find the total height of the larger window: 11.148 meters + 7.619 meters = 18.767 meters Finally, add the total length and total height of the larger window: 11.148 meters + 18.767 meters = 29.915 meters ### Answer: 29.915 meters
Expected answer: 18.7670000000000
Correct? No
Problem: A pair of glasses at an optometrist's store cost $14.8. A special sturdy case for these glasses costs an additional $2.22. How much will it cost to buy the glasses and the case together?
Gemini-1.5 Pro:
Reasoning: We have to add the price of the glasses and the price of the case to find the total price: $14.8 + $2.22 = $17.02 ### Answer: $17.02
Expected answer: 17.0200000000000
Correct? Yes
Problem: In addition to the glasses and the special case, the eye checkup costs $3.0. How much would it cost in total to have an eye checkup, buy the glasses and special case together?
Gemini-1.5 Pro:
Reasoning: We need to add the cost of the eye checkup to the combined cost of the glasses and case, which we know from the previous problem is $17.02. That means the total cost would be $3.00 + $17.02 = $20.02 ### Answer: $20.02
Expected answer: 20.0200000000000
Correct? Yes
Problem: Suppose that a different pair of glasses costs $25, but the special sturdy case still costs an additional $2.22. How much will it cost in total to buy this new pair of glasses and the case together?
Gemini-1.5 Pro:
Reasoning: We add the price of the new pair of glasses to the price of the case: $25 + $2.22 = $27.22 ### Answer: $27.22
Expected answer: 27.2200000000000
Correct? Yes
Problem: A roller skate normally costs $17.9, but is currently on sale with a discount of $8.069. How much does the sale price of the roller skate cost?
Gemini-1.5 Pro:
Reasoning: The sale price of the roller skate is $17.9 - $8.069 = $<<17.9-8.069=9.831>>9.831 ### Answer: $9.831
Expected answer: 9.83100000000000
Correct? Yes
Problem: After finding the sale price of the roller skate, let's say that you also decide to purchase a special set of roller skate guards that cost $3.53. How much would you need to pay in total for the discounted roller skate and the set of roller skate guards?
Gemini-1.5 Pro:
Reasoning: The total cost would be $9.831 + $3.53 = $<<9.831+3.53=13.361>>13.361 ### Answer: $13.361
Expected answer: 13.3610000000000
Correct? Yes
Problem: Let's consider a different scenario for the roller skate sale. If the discount on the roller skate was instead $6 from its original price of $17.9, how much would the roller skate cost after this new discount?
Gemini-1.5 Pro:
Reasoning: The sale price of the roller skate would be $17.9 - $6 = $<<17.9-6=11.9>>11.9 ### Answer: $11.9
Expected answer: 11.9000000000000
Correct? Yes
Problem: In a sandbox, average weight of a single toy is 1.18 pounds. If a child put 23 toys in the sandbox, and added a castle mold that weighed 2.04 pounds, what would be the total weight of the items in the sandbox?
Gemini-1.5 Pro:
Reasoning: First find the total weight of the toys: 23 toys * 1.18 pounds/toy = 27.14 pounds Then add the weight of the castle mold to find the total weight: 27.14 pounds + 2.04 pounds = 29.18 pounds ### Answer: 29.18 pounds
Expected answer: 29.1800000000000
Correct? Yes
Problem: After playtime, the child removed some toys from the sandbox, which reduced the total weight by 26.016 pounds. What is the weight now of all the items in the sandbox?
Gemini-1.5 Pro:
Reasoning: Subtract the weight of the removed toys from the total weight: 29.18 pounds - 26.016 pounds = 3.164 pounds ### Answer: 3.164 pounds
Expected answer: 3.16400000000000
Correct? Yes
Problem: Suppose that instead of 23 toys, the child initially placed only 16 toys in the sandbox, keeping the weight of the castle mold the same at 2.04 pounds. What would then be the total weight of all the items in the sandbox?
Gemini-1.5 Pro:
Reasoning: First find the total weight of the toys: 16 toys * 1.18 pounds/toy = 18.88 pounds Then add the weight of the castle mold to find the total weight: 18.88 pounds + 2.04 pounds = 20.92 pounds ### Answer: 20.92 pounds
Expected answer: 20.9200000000000
Correct? Yes
Problem: At a campfire gathering, each person uses about 1.217 kg of firewood. If there are 18.89 people, approximately how much firewood will be used in total?
Gemini-1.5 Pro:
Reasoning: We can find the total amount of firewood used by multiplying the amount used per person by the number of people: 1.217 kg/person * 18.89 people β 23 kg ### Answer: 23 kg
Expected answer: 22.9891300000000
Correct? No
Problem: A big marshmallow contains 6.1 grams of sugar. A small one has 4.64 grams. What is the total grams of sugar if you were to consume both types of marshmallows?
Gemini-1.5 Pro:
Reasoning: To get the total grams of sugar, we add the grams from the big marshmallow and the small marshmallow which is 6.1+4.64 = <<6.1+4.64 = 10.74>>10.74 grams. ### Answer: 10.74 grams
Expected answer: 10.7400000000000
Correct? Yes
Problem: Following the previous question, if you were to consume another marshmallow containing 10.045 grams of sugar, along with the big and small marshmallow, what would be the total grams of sugar you would consume?
Gemini-1.5 Pro:
Reasoning: We know that the big and small marshmallows contain a total of 10.74 grams of sugar. Adding the third marshmallow containing 10.045 grams of sugar results to 10.74 + 10.045 = <<10.74+10.045 = 20.785>>20.785 grams. ### Answer: 20.785 grams
Expected answer: 20.7850000000000
Correct? Yes
Problem: Following the previous question, if the amount of sugar in the big marshmallow was actually 6.1 grams and the small marshmallow contained only 2 grams of sugar, what would be the total grams of sugar you would consume from both marshmallows?
Gemini-1.5 Pro:
Reasoning: To get the total grams of sugar, we simply add the grams from the big marshmallow and the small marshmallow which is 6.1 + 2 = <<6.1+2 = 8.1>>8.1 grams. ### Answer: 8.1 grams
Expected answer: 8.10000000000000
Correct? Yes
Problem: The weight of a toy car and a toy robot are 8.011 and 2.7 kilograms respectively. If we discount the collective weight by 9.526 kilograms, what is the resulting weight?
Gemini-1.5 Pro:
Reasoning: The total weight of the toy car and toy robot is 8.011 kg + 2.7 kg = 10.711 kg. After the discount, the resulting weight is 10.711 kg - 9.526 kg = 1.185 kg ### Answer: 1.185 kg
Expected answer: 1.18500000000000
Correct? Yes
Problem: Continuing from the previous question, if the resulting weight is translated to Newtons by multiplying each kilogram by 17.5, what will be the total weight in Newtons of the toy car and robot after the discount?
Gemini-1.5 Pro:
Reasoning: We multiply the resulting weight in kilograms by 17.5 to find the weight in Newtons: 1.185 kg * 17.5 N/kg = 20.7375 N. ### Answer: 20.7375 N
Expected answer: 20.7375000000000
Correct? Yes
Problem: In the previous question, suppose the weight of the toy robot was actually 21 kilograms instead of 2.7 kilograms. After taking into account the 9.526 kilograms discount, what would be the new combined weight of the toy car and robot?
Gemini-1.5 Pro:
Reasoning: The total weight of the toy car and toy robot is 8.011 kg + 21 kg = 29.011 kg After the discount, the resulting weight is 29.011 kg - 9.526 kg = 19.485 kg ### Answer: 19.485 kg
Expected answer: 19.4850000000000
Correct? Yes
Problem: A dog's meal should weigh 28.207 grams. If you already fed your dog 5.801 grams, how much more do you need to feed it if it needs to consume an additional 1.59 grams after this meal?
Gemini-1.5 Pro:
Reasoning: Your dog needs to eat 28.207 + 1.59 = <<28.207+1.59=29.797>>29.797 grams in total. You need to feed your dog 29.797 - 5.801 = <<29.797-5.801=23.996>>23.996 grams more. ### Answer: 23.996 grams
Expected answer: 23.9960000000000
Correct? Yes
Problem: Based on the previous scenario about the dog's meal, after you have completed feeding your dog according to its usual meal requirement, you decided to give it an extra treat which weighs 1.135 grams. What is the total amount of food in grams that your dog will have consumed after the extra treat is added?
Gemini-1.5 Pro:
Reasoning: The dog's usual meal is 28.207 grams, and you are giving it an extra 1.135 grams. Therefore, the dog will consume a total of 28.207 + 1.135 = <<28.207+1.135=29.342>>29.342 grams after the treat. ### Answer: 29.342 grams
Expected answer: 25.1310000000000
Correct? No
Problem: In the previous situation with the dog's meal, suppose we had initially planned on feeding the dog 21 grams. We already fed your dog 5.801 grams, and want to feed it an additional 1.59 grams. How much food in grams would we need to feed the dog now?
Gemini-1.5 Pro:
Reasoning: You want to feed your dog an additional 1.59 + 5.801 = <<1.59+5.801=7.391>>7.391 grams. Therefore, you need to feed your dog 21 - 7.391 = <<21-7.391=13.609>>13.609 grams now. ### Answer: 13.609 grams
Expected answer: 16.7890000000000
Correct? No
Problem: A dolphin can leap a maximum of 9.8 feet out of the water. If it jumps an additional 11.484 feet during an extraordinary display, what is the total distance the dolphin covered?
Gemini-1.5 Pro:
Reasoning: The total distance is the sum of the dolphin's usual maximum leap and the additional distance jumped. This is calculated as 9.8 feet + 11.484 feet = 21.284 feet. ### Answer: 21.284 feet.
Expected answer: 21.2840000000000
Correct? Yes
Problem: After the remarkable display, it was noticed that the dolphin only returned 9.8 feet back to the water level. What was the remaining distance the dolphin covered in mid-air?
Gemini-1.5 Pro:
Reasoning: We need to subtract the distance the dolphin jumped back into the water (9.8 feet) from the total distance covered in the extraordinary leap (21.284 feet). This calculation gives us 21.284 feet - 9.8 feet = 11.484 feet. ### Answer: 11.484 feet.
Expected answer: 11.4840000000000
Correct? Yes
Problem: In another remarkable leap, instead of rising an additional 11.484 feet, the dolphin soared an extra 20 feet above the initial 9.8 feet. What is the total distance the dolphin covered in this jump?
Gemini-1.5 Pro:
Reasoning: We need to add the dolphin's usual maximum leap to the extra distance it jumped. This sum is 9.8 feet + 20 feet = 29.8 feet. ### Answer: 29.8 feet.
Expected answer: 29.8000000000000
Correct? Yes
Problem: A water bottle holds 7.55 liters of water initially. If you add 17.4 more liters of water, how many liters are in the water bottle?
Gemini-1.5 Pro:
Reasoning: We must add the initial amount of water to the amount added. This is 7.55 + 17.4 = 24.95 liters. ### Answer: 24.95 liters.
Expected answer: 24.9500000000000
Correct? Yes
Problem: In the previous scenario, let's reconsider the amount of water initially in the bottle. Imagine instead that the water bottle initially held 7.55 liters, but you only added 4 liters more. Now, how many liters of water are in the bottle?
Gemini-1.5 Pro:
Reasoning: We need to add the initial amount of water to the amount that was added. This is 7.55 + 4 = 11.55 liters. ### Answer: 11.55 liters.
Expected answer: 11.5500000000000
Correct? Yes
Problem: If the eastern direction on a compass is represented by 25.348 degrees, and the southeastern direction is represented by 15.313 degrees. What is the difference between these two directions in degrees?
Gemini-1.5 Pro:
Reasoning: The difference in degrees between the eastern and southeastern directions is simply the larger angle minus the smaller angle: 25.348 - 15.313 = 10.035 degrees. ### Answer: 10.035 degrees
Expected answer: 10.0350000000000
Correct? Yes
Problem: Now consider a new scenario, where the eastern direction on a compass is represented by 28 degrees instead of 25.348. What is the difference between this new eastern direction and the previous southeastern direction in degrees?
Gemini-1.5 Pro:
Reasoning: We will use the new value for the eastern direction (28 degrees) and the previous value for the southeastern direction (15.313 degrees). The difference is calculated as 28 - 15.313 = 12.687 degrees. ### Answer: 12.687 degrees
Expected answer: 12.6870000000000
Correct? Yes
Problem: A specific computer model costs $20.7. The store offers an upgrade that costs an additional $6.18. What will be the total cost for the upgraded computer model?
Gemini-1.5 Pro:
Reasoning: To find the total cost, we need to add the original cost of the computer model and the cost of the upgrade. Total cost= $20.7 + $6.18 = $<<20.7+6.18=26.88>>26.88 ### Answer: $26.88
Expected answer: 26.8800000000000
Correct? Yes
Problem: After purchasing the upgraded computer model, the buyer realizes that he has a voucher which gives a $17.29 discount on his next purchase. How much will the final cost of his purchase be after applying the voucher?
Gemini-1.5 Pro:
Reasoning: To find the final cost, we need to subtract the discount amount from the total cost of the upgraded computer model. Final cost = $26.88 - $17.29 = $<<26.88-17.29=9.59>>9.59 ### Answer: $9.59
Expected answer: 9.59000000000000
Correct? Yes
Problem: Instead of the original computer model costing $20.7, consider if the computer model costs only $4. With the same upgrade cost of $6.18, what would be the total cost for the upgraded computer model now?
Gemini-1.5 Pro:
Reasoning: To find the total cost, we need to add the new cost of the computer model and the cost of the upgrade. Total cost = $4 + $6.18 = $<<4+6.18=10.18>>10.18 ### Answer: $10.18
Expected answer: 10.1800000000000
Correct? Yes
Problem: The weight of a teddy bear is 29.2 grams. It loses 9.1 grams of its stuffing. Together with it, a small ribbon weighing 6.62 grams is attached to it. How much does the teddy bear with missing stuffing and a ribbon weigh now?
Gemini-1.5 Pro:
Reasoning: After losing some stuffing, the teddy bear weighs 29.2 - 9.1 = <<29.2 - 9.1 = 20.1>>20.1 grams. With the ribbon, it will weigh 20.1 + 6.62 = <<20.1 + 6.62 = 26.72>>26.72 grams. ### Answer: 26.72 grams.
Expected answer: 26.7200000000000
Correct? Yes
Problem: After the adjustments mentioned in the previous problem, the teddy bear is then placed in a box which weighs 2.55 grams less than the teddy bear's total weight. What does the box weigh?
Gemini-1.5 Pro:
Reasoning: The box weighs 26.72 - 2.55 = <<26.72-2.55 = 24.17>> 24.17 grams. ### Answer: 24.17 grams.
Expected answer: 24.1700000000000
Correct? Yes
Problem: A blanket has a temperature of 17.8Β°C. However, if it is used for a period of time, the temperature drops to 7.24Β°C. How many degrees Celsius does the temperature of the blanket drop by?
Gemini-1.5 Pro:
Reasoning: We need to subtract the final temperature from the initial temperature: 17.8 - 7.24 = 10.56 degrees Celsius. ### Answer: 10.56 degrees Celsius.
Expected answer: 10.5600000000000
Correct? Yes
Problem: Suppose the blanket initially had a temperature of 12Β°C instead of 17.8Β°C before it dropped to 7.24Β°C. How many degrees Celsius does the temperature of the blanket drop by now?
Gemini-1.5 Pro:
Reasoning: We need to subtract the final temperature from the initial temperature: 12 - 7.24 = 4.76 degrees Celsius. ### Answer: 4.76 degrees Celsius.
Expected answer: 4.76000000000000
Correct? Yes
Problem: A jacket initially costs $13.3. However, there is a discount that reduces the price by $4.971. What is the cost of the jacket after the discount?
Gemini-1.5 Pro:
Reasoning: We need to subtract the discount from the initial price: $13.3 - $4.971 = $8.329. ### Answer: $8.329
Expected answer: 8.32900000000000
Correct? Yes
Problem: After paying for the discounted jacket, how much money did you actually save from the original price?
Gemini-1.5 Pro:
Reasoning: The saved amount is exactly the value of the discount, which was $4.971. ### Answer: $4.971
Expected answer: 4.97100000000000
Correct? Yes
Problem: Suppose instead of the original price being $13.3, the jacket initially costs $30, how much would the jacket cost after applying the same discount of $4.971?
Gemini-1.5 Pro:
Reasoning: We need to subtract the discount from the initial price: $30 - $4.971 = $25.029. ### Answer: $25.029
Expected answer: 25.0290000000000
Correct? Yes
Problem: Charlie has a unique ball that weighs 3.9 lbs. He adds two materials to the ball, first material weighing 14.2 lbs and the second material weighing 2.642 lbs. What is the total weight of the ball after adding both materials?
Gemini-1.5 Pro:
Reasoning: We need to add the weight of the ball to the weight of the two materials: 3.9 lbs + 14.2 lbs + 2.642 lbs = 20.742 lbs ### Answer: 20.742 lbs
Expected answer: 20.7420000000000
Correct? Yes
Problem: In the previous problem where Charlie added materials to the ball, let's consider a change. If the weight of the second material he added was 6 lbs instead of 2.642 lbs, what would be the total weight of the ball after adding both materials?
Gemini-1.5 Pro:
Reasoning: We'll use the new weight of the second material and keep the other weights the same: 3.9 lbs + 14.2 lbs + 6 lbs = 24.1 lbs ### Answer: 24.1 lbs
Expected answer: 24.1000000000000
Correct? Yes
Problem: The distance from the earth to the sun is 26.6 million miles. If a spacecraft has already traveled 15.818 million miles, how much farther does it need to travel? If it needs to stop at a station that is 10.5 million miles away from its current position, what is the total distance the spacecraft has to travel? If after the stop, it has to detour another 4.27 million miles because of space debris, what will be the final total distance the spacecraft has to travel to reach the sun?
Gemini-1.5 Pro:
Reasoning: The spacecraft needs to travel 26.6 million miles - 15.818 million miles = <<26.6-15.818=10.782>>10.782 million miles more to reach the sun. The total distance to the station is 10.5 million miles + 15.818 million miles = <<10.5+15.818=26.318 >>26.318 million miles. The final total distance the spacecraft has to travel is 26.318 million miles + 4.27 million miles + 10.782 million miles = <<26.318+4.27+10.782=41.37>>41.37 million miles ### Answer: 41.37 million miles
Expected answer: 25.5520000000000
Correct? No
Problem: An eraser company makes two types of erasers: Type A weighs 12.2 grams and Type B weighs 15.0 grams. What is the total weight of one Type A eraser and one Type B eraser?
Gemini-1.5 Pro:
Reasoning: To find the total weight, we add the weight of Type A and Type B: 12.2 grams + 15.0 grams = 27.2 grams ### Answer: 27.2 grams
Expected answer: 27.2000000000000
Correct? Yes
Problem: Following up on the previous problem, suppose that after production, the company found that the Type A erasers are having an excess weight amounting to 1.49 grams which needs to be trimmed off each eraser. What will then be the new combined weight of one Type A and Type B eraser after the excess weight from Type A is trimmed off?
Gemini-1.5 Pro:
Reasoning: First find the new weight of a Type A eraser after trimming: 12.2 grams - 1.49 grams = 10.71 grams Then add that new weight to the weight of a Type B eraser to find the total weight: 10.71 grams + 15.0 grams = 25.71 grams ### Answer: 25.71 grams
Expected answer: 25.7100000000000
Correct? Yes
Problem: Considering the previous scenario, what will be the total weight if, instead of a type A eraser, the company decides to pair two Type B erasers, each weighing 15 grams?
Gemini-1.5 Pro:
Reasoning: The total weight of two Type B erasers is 15 grams + 15 grams = 30 grams. ### Answer: 30 grams
Expected answer: 30.0000000000000
Correct? Yes
Problem: A coffee shop sells hot chocolate that is prepared with 11.07 grams of chocolate mix and 18.213 grams of sugar. How many grams are there in total in the hot chocolate mix?
Gemini-1.5 Pro:
Reasoning: To find the total grams, we need to add the weight of the chocolate mix and the sugar: 11.07 grams + 18.213 grams = 29.283 grams ### Answer: 29.283 grams
Expected answer: 29.2830000000000
Correct? Yes
Problem: After preparing the hot chocolate mix with 11.07 grams of chocolate mix and 18.213 grams of sugar, a barista decides to remove 13.93 grams of the mix to make it less sweet. How many grams are left in the hot chocolate mix now?
Gemini-1.5 Pro:
Reasoning: First find the total weight of the mix: 11.07 grams + 18.213 grams = 29.283 grams Then subtract the amount removed: 29.283 grams - 13.93 grams = 15.353 grams ### Answer: 15.353 grams
Expected answer: 15.3530000000000
Correct? Yes
Problem: If instead of 11.07 grams of chocolate mix, the coffee shop decides to add only 2 grams of chocolate mix to the 18.213 grams of sugar, how many grams would there be in total in the hot chocolate mix?
Gemini-1.5 Pro:
Reasoning: We need to add the new weight of the chocolate mix to the weight of the sugar: 2 grams + 18.213 grams = 20.213 grams. ### Answer: 20.213 grams
Expected answer: 20.2130000000000
Correct? Yes
Problem: A bookstore had 16.551 books and sold 2.8 books in the morning. In the afternoon, an additional 7.268 books were sold. How many books are left in the bookstore after this?
Gemini-1.5 Pro:
Reasoning: The bookstore sold 2.8 + 7.268 = <<2.8+7.268=10.068>>10.068 books total. There are 16.551 - 10.068 = <<16.551-10.068=6.483>>6.483 books left in the bookstore. ### Answer: 6.483
Expected answer: 6.48300000000000
Correct? Yes
Problem: In the same bookstore, there were originally 25 books instead of 16.551. After selling the same number of books in the morning and afternoon as before (2.8 and 7.268), how many books would now be left in the bookstore?
Gemini-1.5 Pro:
Reasoning: The bookstore still sold a total of 2.8 + 7.268 = 10.068 books. There would be 25 - 10.068 = 14.932 books left in the bookstore. ### Answer: 14.932
Expected answer: 14.9320000000000
Correct? Yes
Problem: In searching for hidden treasure in an old shipwreck, you found a treasure chest weighing 14.755650000000001 kilograms. If the maritime version of gold's worth is 10.81 kilograms per seashell, how many seashells is the treasure chest worth? If you could sell each seashell for $7.19, how much could you earn from selling all the seashells represented by the weight of the treasure chest?
Gemini-1.5 Pro:
Reasoning: The treasure chest is worth 14.755650000000001 / 10.81 = <<14.755650000000001/10.81=1.3650000000000002>> 1.3650000000000002 seashells. Since we can't have a fraction of a seashell, we'll round that number to its nearest whole number: 1. You could earn 1 * $7.19 = <<1*7.19=7.19>>$7.19 from selling all the seashells. ### Answer: $7.19
Expected answer: 9.81435000000000
Correct? No
Problem: A baby's birth weight is typically around 18.4 ounces. If a particular baby gains 6.97 ounces more than this average weight during the first month, what is the baby's weight then?
Gemini-1.5 Pro:
Reasoning: The baby's weight will be 18.4 ounces + 6.97 ounces = 25.37 ounces. ### Answer: 25.37 ounces
Expected answer: 25.3700000000000
Correct? Yes
Problem: A baby's birth weight is typically around 18.4 ounces. If a particular baby gains 6.97 ounces more than this average weight during the first month, what is the baby's weight then? If this baby then loses 21.754 ounces, what will be the baby's new weight?
Gemini-1.5 Pro:
Reasoning: The baby's weight will be 18.4 ounces + 6.97 ounces = 25.37 ounces after the first month. If the baby then loses 21.754 ounces, their new weight will be 25.37 ounces - 21.754 ounces = 3.616 ounces. ### Answer: 3.616 ounces
Expected answer: 3.61600000000000
Correct? Yes
Problem: A baby's birth weight is typically around 18.4 ounces. If a particular baby gains 7 ounces more than the average weight during the first month rather than the previous 6.97 ounces scenario, what is the baby's new weight then?
Gemini-1.5 Pro:
Reasoning: The baby's weight will be 18.4 ounces + 7 ounces = 25.4 ounces. ### Answer: 25.4 ounces
Expected answer: 25.4000000000000
Correct? Yes
Problem: An eraser is 1.4 cm long and 6.7 cm wide. Calculate the surface area of the eraser.
Gemini-1.5 Pro:
Reasoning: We can imagine the eraser as a rectangle. The surface area of a rectangle is calculated by multiplying its length and width. Therefore, the surface area of the eraser is 1.4 cm * 6.7 cm = 9.38 cmΒ². ### Answer: 9.38 cmΒ²
Expected answer: 9.38000000000000
Correct? Yes
Problem: In addition to the first eraser, Carl buys an identical eraser. Calculate the total surface area of the two erasers together.
Gemini-1.5 Pro:
Reasoning: The surface area of one eraser is 9.38 cmΒ². Since Carl buys an identical eraser, the total surface area of the two erasers is 9.38 cmΒ² * 2 = 18.76 cmΒ². ### Answer: 18.76 cmΒ²
Expected answer: 18.7600000000000
Correct? Yes
Problem: Suppose the original eraser is actually 1.4 cm long but 18 cm wide instead. What would be the new surface area of this eraser?
Gemini-1.5 Pro:
Reasoning: The surface area of a rectangle is calculated by multiplying its length and width. In this case, the length is 1.4 cm and the width is 18 cm. Therefore, the surface area of the eraser is 1.4 cm * 18 cm = 25.2 cmΒ². ### Answer: 25.2 cmΒ²
Expected answer: 25.2000000000000
Correct? Yes
Problem: A UFO is spotted at an altitude of 28.571 miles. It descends by 14.06 miles. Then it descends another 12.7 miles. Shortly after, it rises by 16.4 miles. What is the altitude of the UFO now?
Gemini-1.5 Pro:
Reasoning: First, we calculate the altitude after the first descent: 28.571 miles - 14.06 miles = 14.511 miles. Then, we calculate the altitude after the second descent: 14.511 miles - 12.7 miles = 1.811 miles. Finally, we calculate the altitude after it rises: 1.811 miles + 16.4 miles = 18.211 miles. ### Answer: 18.211 miles.
Expected answer: 18.2110000000000
Correct? Yes
Problem: After reaching its new altitude, the UFO then ascends an additional 2.4 miles. What is its altitude now?
Gemini-1.5 Pro:
Reasoning: We take the UFO's previous altitude and add the additional ascent: 18.211 miles + 2.4 miles = 20.611 miles. ### Answer: 20.611 miles.
Expected answer: 20.6110000000000
Correct? Yes
Problem: After the initial series of ascents and descents, what would the altitude of the UFO have been if instead of rising by 16.4 miles it had risen by 19 miles?
Gemini-1.5 Pro:
Reasoning: We know from the previous problem that the altitude of the UFO after the two descents was 1.811 miles. If the UFO then rose by 19 miles, its final altitude would be 1.811 miles + 19 miles = 20.811 miles. ### Answer: 20.811 miles.
Expected answer: 20.8110000000000
Correct? Yes
Problem: A woman bought a skirt where the cost of the fabric is $3.935 and the cost of the workmanship is $6.78. What is the total cost for the skirt?
Gemini-1.5 Pro:
Reasoning: The total cost is calculated by adding the cost of fabric and the cost of workmanship. So, the total cost is $3.935 + $6.78 = $10.715 ### Answer: $10.715
Expected answer: 10.7150000000000
Correct? Yes
Problem: In addition to the cost of the skirt's fabric and workmanship which was $3.935 and $6.78 respectively, there was an extra cost for specific design elements of $1.803. What is the total cost of the skirt now?
Gemini-1.5 Pro:
Reasoning: We need to add the cost of fabric, workmanship, and the additional design cost to find the total cost. Total cost = $3.935 + $6.78 + $1.803 = $12.518 ### Answer: $12.518
Expected answer: 12.5180000000000
Correct? Yes
Problem: If instead of $6.78, the cost of the workmanship for the skirt was $25 while the cost of the fabric remained at $3.935, what would be the total cost for the skirt?
Gemini-1.5 Pro:
Reasoning: The total cost is calculated by adding the cost of the fabric and the cost of the workmanship. So, the total cost is $3.935 + $25 = $28.935 ### Answer: $28.935
Expected answer: 28.9350000000000
Correct? Yes
Problem: A top and bottom combo of a dress set is sold separately. The top costs $5.9 and the bottom costs $5.5. What is the total price of the entire dress set?
Gemini-1.5 Pro:
Reasoning: We need to add the price of the top and the bottom to find the total price: $5.9 + $5.5 = $<<5.9+5.5=11.4>>11.4 ### Answer: $11.4
Expected answer: 11.4000000000000
Correct? Yes
Problem: Considering the price of the top and bottom combo of the dress set, if a customer also decides to buy a matching coat priced at $17.58 to complete her outfit, what is the total cost of her purchase?
Gemini-1.5 Pro:
Reasoning: The dress set costs $11.40 and the coat costs $17.58, so the total cost is $11.40 + $17.58 = $<<11.40+17.58=28.98>>28.98 ### Answer: $28.98
Expected answer: 28.9800000000000
Correct? Yes
Problem: If the price of the top part of the dress set is actually $3 instead of $5.9, and the bottom still costs $5.5, what would be the new total price of the dress set?
Gemini-1.5 Pro:
Reasoning: We need to add the new price of the top ($3) to the price of the bottom ($5.5) to find the new total price: $3 + $5.5 = $<<3+5.5=8.5>>8.5 ### Answer: $8.5
Expected answer: 8.50000000000000
Correct? Yes
Problem: Captain Jack has a treasure chest with 22.83 gold coins. He spends 10.198 coins on a new pirate map. How many gold coins does he have left?
Gemini-1.5 Pro:
Reasoning: To find out how many coins Captain Jack has left, we need to subtract the coins he spent from his initial amount: 22.83 - 10.198 Performing the subtraction we get: 22.83 - 10.198 = 12.632 ### Answer: 12.632
Expected answer: 12.6320000000000
Correct? Yes
Problem: Following the previous question, what if the treasure chest originally had 14 gold coins instead of 22.83 gold coins? After spending 10.198 coins on a new pirate map, how many gold coins would Captain Jack have left?
Gemini-1.5 Pro:
Reasoning: This problem requires careful consideration because you can't have less than zero coins. Since Captain Jack starts with 14 gold coins and spends 10.198 coins, he won't have enough to buy the map. ### Answer: Captain Jack cannot afford the map.
Expected answer: 3.80200000000000
Correct? No
Problem: Princess Mia has a particular type of magical gemstone that powers her kingdom. Each gemstone weighs 6.7 grams. One day, she decides to gather two of these gemstones. But disaster strikes! A mischievous goblin steals 9.483 grams worth of gemstones from Mia. How many grams of gemstones does Princess Mia have left after the goblin's mischievous act?
Gemini-1.5 Pro:
Reasoning: Princess Mia starts with 2*6.7 = <<2*6.7=13.4>>13.4 grams of gemstones. After the goblin steals some, Mia has 13.4 - 9.483 = <<13.4-9.483=3.917>>3.917 grams left. ### Answer: 3.917 grams
Expected answer: 3.91700000000000
Correct? Yes
Problem: After realizing that Princess Mia's gemstones have been partially stolen, her loyal subjects present her with an additional gemstone weighing 6.5 grams as a gift to help make up for her loss. How many grams of gemstones does Princess Mia have now after receiving this gift?
Gemini-1.5 Pro:
Reasoning: After receiving the gift, Mia has 3.917 + 6.5 = <<3.917+6.5=10.417>>10.417 grams of gemstones. ### Answer: 10.417 grams
Expected answer: 10.4170000000000
Correct? Yes
Problem: Suppose that instead of the goblin stealing 9.483 grams of gemstones, he was only able to steal 7 grams worth of gemstones. In that case, how many grams of gemstones would Princess Mia have then?
Gemini-1.5 Pro:
Reasoning: As before, Princess Mia starts with 2 * 6.7 = <<2*6.7=13.4>>13.4 grams of gemstones. After the goblin steals some, Mia has 13.4 - 7 = <<13.4-7=6.4>>6.4 grams left. ### Answer: 6.4 grams
Expected answer: 6.40000000000000
Correct? Yes
Problem: A zoo has 22.8 kilograms of food for the animals. The lion is fed 5.0 kilograms of food. How much food is left in the zoo after feeding the lion?
Gemini-1.5 Pro:
Reasoning: We need to subtract the amount of food the lion ate from the zoo's total amount of food: 22.8 - 5.0 = 17.8 kilograms. ### Answer: 17.8 kilograms
Expected answer: 17.8000000000000
Correct? Yes
Problem: After feeding the lion, the zookeepers realize that a delivery of an additional 6.91 kilograms of food has arrived. What is the total amount of food for the animals in the zoo after the additional food delivery?
Gemini-1.5 Pro:
Reasoning: We need to add the amount of the new delivery to the amount of food left after feeding the lion: 17.8 + 6.91 = 24.71 kilograms ### Answer: 24.71 kilograms
Expected answer: 24.7100000000000
Correct? Yes
Problem: Earlier, the zoo had 23 kilograms of food for the animals, but they fed 5.0 kilograms of it to the lion. Now, how much food is left in the zoo after feeding the lion under these new circumstances?
Gemini-1.5 Pro:
Reasoning: We need to subtract the amount of food the lion ate from the zoo's initial amount of food: 23 - 5.0 = 18 kilograms. ### Answer: 18 kilograms
Expected answer: 18.0000000000000
Correct? Yes
Problem: At a party, each guest is offered 1.625 ounces of a party mix snack. If there are 14.149 guests, how many ounces of party mix will be eaten in total?
Gemini-1.5 Pro:
Reasoning: We need to multiply the amount of party mix per guest by the number of guests: 1.625 ounces/guest * 14.149 guests = <<1.625*14.149=22.999625>>22.999625 ounces. ### Answer: 22.999625 ounces
Expected answer: 22.9921250000000
Correct? No
Problem: Linda noticed her favourite doll was initially priced at $26.63 in a store. However, it was marked down by $16.41 during a sale. How much does the doll cost after the discount?
Gemini-1.5 Pro:
Reasoning: The doll's price was reduced by $16.41, so we subtract that amount from the original price. The doll costs $26.63 - $16.41 = $<<26.63-16.41=10.22>>10.22 after the discount. ### Answer: $10.22
Expected answer: 10.2200000000000
Correct? Yes
Problem: After Linda noticed the discount and purchased the favorite doll, she also found a cute dress for the doll that costs $10.52. How much will Linda spend in total for the doll and the dress?
Gemini-1.5 Pro:
Reasoning: Linda bought the doll for $10.22 and the dress for $10.52. In total, Linda will spend $10.22 + $10.52 = $<<10.22+10.52=20.74>>20.74 for the doll and the dress. ### Answer: $20.74
Expected answer: 20.7400000000000
Correct? Yes
Problem: A pair of pants have a length of 9.8 inches and an extra material of 7.7 inches is added for adjustments. After the adjustment, an additional cloth of 6.757 inches was added for the design. What is the overall length of the pants including the adjustments and design?
Gemini-1.5 Pro:
Reasoning: The total length of the pants after the adjustment is 9.8 + 7.7 = 17.5 inches. Adding the additional cloth for the design results in a final length of 17.5 + 6.757 = 24.257 inches. ### Answer: 24.257 inches.
Expected answer: 24.2570000000000
Correct? Yes
Problem: Let's consider a new pair of pants. Initially, this pair has a length of 11 inches. An extra material of 7.7 inches is added for adjustments, similar to the previous pair. Then, again, an additional cloth of 6.757 inches is added for the design. What is the overall length of this new pair of pants including the adjustments and design?
Gemini-1.5 Pro:
Reasoning: The length after adjustments is 11 + 7.7 = 18.7 inches. The overall length including the design is 18.7 + 6.757 = 25.457 inches. ### Answer: 25.457 inches.
Expected answer: 25.4570000000000
Correct? Yes
Problem: A specific pen has an initial weight of 13.964 grams. After using it for a while, the weight is reduced to 11.59 grams. If the weight of the pen case is 24.0 grams, what is the total weight of the pen and its case after using the pen for some time?
Gemini-1.5 Pro:
Reasoning: The total weight of the pen and its case after using the pen is 11.59 grams + 24.0 grams = <<11.59+24.0 = 35.59>>35.59 grams. ### Answer: 35.59 grams.
Expected answer: 26.3740000000000
Correct? No
Problem: The bed of a small truck is 2.06 meters long and 1.32 meters wide. What is the area of the truck bed in square meters?
Gemini-1.5 Pro:
Reasoning: The area of the truck bed is calculated by multiplying its length and width: 2.06 meters * 1.32 meters = 2.72 square meters. ### Answer: 2.72 square meters.
Expected answer: 2.71920000000000
Correct? Yes
Problem: Given that the bed of a small truck is 2.06 meters long and 1.32 meters wide, and the additional space outside the truck bed for placing items is 5.1 square meters, what is the total area available for placing items in square meters?
Gemini-1.5 Pro:
Reasoning: The truck bed area is 2.06 meters * 1.32 meters = 2.72 square meters. The total area available is the truck bed area plus the additional space: 2.72 square meters + 5.1 square meters = 7.82 square meters. ### Answer: 7.82 square meters.
Expected answer: 7.81920000000000
Correct? Yes
Problem: In a marine study, a particular species of starfish has an average weight of 2.967 grams. A researcher finds a group of 6.52 starfish on average in a certain area. However, a starfish weighs 7.36 grams less than the total weight of the group starfish found in that area. What is the weight of this starfish in grams?
Gemini-1.5 Pro:
Reasoning: First, find the total weight of the group of starfish: 6.52 starfish * 2.967 grams/starfish = 19.35584 grams. Then, subtract 7.36 grams from the total weight to find the weight of this starfish: 19.35584 grams - 7.36 grams = 11.99584 grams. ### Answer: 11.99584 grams.
Expected answer: 11.9848400000000
Correct? No
Problem: A monkey jumps 1.627 meters high in one jump. If he manages to jump 11.0 meters further in his second jump, how high does he jump altogether?
Gemini-1.5 Pro:
Reasoning: In his second jump, the monkey reaches a height of 1.627 + 11.0 = <<1.627+11=12.627>>12.627 meters. The monkey jumps a total of 12.627 + 1.627 = <<12.627+1.627=14.254>>14.254 meters high. ### Answer: 14.254 meters.
Expected answer: 12.6270000000000
Correct? No
Problem: The height of a club sandwich is 1.61 inches. Find the square of the height of the sandwich.
Gemini-1.5 Pro:
Reasoning: To find the square of the height, we need to multiply the height by itself: 1.61 inches * 1.61 inches ### Answer: 2.5921 square inches.
Expected answer: 2.59210000000000
Correct? Yes
Problem: In addition to knowing the square of the height of the club sandwich, what would be the volume if the sandwich was shaped like a cube?
Gemini-1.5 Pro:
Reasoning: The volume of a cube is found by cubing the side length, which we already know is 1.61 inches. So, the volume is 1.61 inches * 1.61 inches * 1.61 inches. ### Answer: 4.173281 cubic inches.
Expected answer: 4.17328100000000
Correct? Yes
Problem: If the height of the club sandwich was actually 2 inches instead of 1.61 inches, what would be the new square of the height of the sandwich?
Gemini-1.5 Pro:
Reasoning: To find the square of the new height, we need to multiply the new height by itself: 2 inches * 2 inches = 4 square inches ### Answer: 4 square inches.
Expected answer: 4
Correct? Yes
Problem: A clock ticks 6.645 second per cycle after midnight and adds an additional 13.52 seconds for the hourly chime. How long, in seconds, does it take for one full cycle of the clock, including the hourly chime?
Gemini-1.5 Pro:
Reasoning: We simply add the regular tick time to the chime time to find the total cycle length. This gives us 6.645 seconds + 13.52 seconds = 20.165 seconds. ### Answer: 20.165 seconds.
Expected answer: 20.1650000000000
Correct? Yes
Problem: After the one full cycle of the clock, the clockmaker adjusted the clock by taking off 1.6 seconds from the cycle time. How long, in seconds, does the clock take for one full cycle after the clockmaker's adjustment?
Gemini-1.5 Pro:
Reasoning: We subtract the time the clockmaker removed, 1.6 seconds, from the original cycle time of 20.165 seconds. This gives us 20.165 seconds - 1.6 seconds = 18.565 seconds. ### Answer: 18.565 seconds.
Expected answer: 18.5650000000000
Correct? Yes
Problem: In a new adjustment, the clockmaker changes the hourly chime to add an additional 20 seconds to the clock's cycle time instead of the previous 13.52 seconds. How long, in seconds, does it take for one full cycle of the clock, including the new hourly chime, after this adjustment?
Gemini-1.5 Pro:
Reasoning: We follow the same logic as before, adding the new chime time to the regular tick time: 6.645 seconds + 20 seconds = 26.645 seconds. ### Answer: 26.645 seconds.
Expected answer: 26.6450000000000
Correct? Yes
Problem: John originally had $13.079 in his wallet. After buying a pack of pens, he was left with $11.967. How much did the pens cost?
Gemini-1.5 Pro:
Reasoning: To find out how much the pens cost, we subtract the money John had left from the money he had originally. That means the pens cost $13.079 - $11.967 = $<<13.079-11.967=1.112>>1.112 ### Answer: $1.112
Expected answer: 1.11200000000000
Correct? Yes
Problem: In addition to the pens, John also bought a notebook for $4.7. How much total did John spend on the pens and the notebook?
Gemini-1.5 Pro:
Reasoning: We know the pens cost $1.112 and the notebook cost $4.70. To find the total amount spent, we add those two amounts together. The total cost is $1.112 + $4.70 = $<<1.112+4.7=5.812>>5.812 ### Answer: $5.812
Expected answer: 5.81200000000000
Correct? Yes
Problem: A type of strawberry is sold at a weight of 23.21g. If an apple that has a weight of 3.759g is added, what is the total weight of them both?
Gemini-1.5 Pro:
Reasoning: We need to add the weight of the strawberry to the weight of the apple. This means we need to do the sum 23.21 + 3.759 = <<23.21+3.759=26.969>>26.969g. ### Answer: 26.969g
Expected answer: 26.9690000000000
Correct? Yes
Problem: Following the previous problem, if the total weight of the strawberry and the apple is subtracted by the weight of a small blueberry that weighs 2.22g, what is the net weight of the remaining apple and strawberry?
Gemini-1.5 Pro:
Reasoning: We need to subtract the blueberry's weight from the combined weight of the apple and strawberry: 26.969g - 2.22g = <<26.969-2.22=24.749>>24.749g. ### Answer: 24.749g
Expected answer: 24.7490000000000
Correct? Yes
Problem: Following on from the previous problems, suppose the weight of the strawberry is still 23.21g, but instead of an apple, now a cherry of 2g is added to the strawberry. What is the total weight of the strawberry and cherry combined?
Gemini-1.5 Pro:
Reasoning: We need to add the weight of the strawberry to the weight of the cherry. This means we need to do the sum 23.21 + 2 = <<23.21+2=25.21>>25.21g. ### Answer: 25.21g
Expected answer: 25.2100000000000
Correct? Yes
Problem: You bought a gaming mouse that cost $11.57. You also purchased an additional gaming accessory that was $16.99 more expensive than the mouse. How much did the gaming accessory cost?
Gemini-1.5 Pro:
Reasoning: The gaming accessory cost $11.57 + $16.99 = $28.56 ### Answer: $28.56
Expected answer: 28.5600000000000
Correct? Yes
Problem: Following your previous purchases, you found a desirable mousepad that costs $5.10 less than the cost of the gaming accessory you acquired. How much does the mousepad cost?
Gemini-1.5 Pro:
Reasoning: The mousepad costs $28.56 - $5.10 = $23.46 ### Answer: $23.46
Expected answer: 23.4600000000000
Correct? Yes
Problem: Suppose instead of the gaming accessory that was $16.99 more expensive than the gaming mouse, you saw another accessory that was $13 more expensive than the gaming mouse. How much does this new accessory cost?
Gemini-1.5 Pro:
Reasoning: This new accessory costs $11.57 + $13.00 = $24.57. ### Answer: $24.57
Expected answer: 24.5700000000000
Correct? Yes
Problem: If a pen costs $18.33 and additionally $10.727 for its fancy pen case, how much money will the full set cost you?
Gemini-1.5 Pro:
Reasoning: To find the total cost, we need to add the price of the pen and the price of the pen case: $18.33 + $10.727 = $29.057 ### Answer: $29.057
Expected answer: 29.0570000000000
Correct? Yes
Problem: Following the previous problem, if you then applied a coupon worth $17.79 to your purchase, how much money would you need to buy the full set then?
Gemini-1.5 Pro:
Reasoning: We need to subtract the coupon value from the total cost calculated in the previous problem: $29.057 - $17.79 = $11.267 ### Answer: $11.267
Expected answer: 11.2670000000000
Correct? Yes
Problem: Considering the previous scenario, what would be the price of the full set if the pen only cost $6 instead of $18.33?
Gemini-1.5 Pro:
Reasoning: The pen case still costs $10.727. We need to add the new price of the pen: $6 + $10.727 = $16.727 ### Answer: $16.727
Expected answer: 16.7270000000000
Correct? Yes
Problem: At the zoo, an elephant eats 4.36 kilograms of food every meal. If it eats two meals, how many kilograms of food does the elephant eat in total?
Gemini-1.5 Pro:
Reasoning: The elephant eats a total of 4.36 * 2 = <<4.36*2=8.72>>8.72 kilograms of food for two meals. ### Answer: 8.72 kilograms
Expected answer: 8.72000000000000
Correct? Yes
Problem: The zookeeper needs to add 7.71 kilograms of fruits and vegetables to the elephant's diet after its two meals. How many kilograms of food in total does the elephant eat including the two meals and the added fruits and vegetables?
Gemini-1.5 Pro:
Reasoning: We need to add the weight of two meals (8.72 kilograms) and the added fruits and vegetables (7.71 kilograms): 8.72 + 7.71 = <<8.72+7.71=16.43>>16.43 kilograms. ### Answer: 16.43 kilograms
Expected answer: 16.4300000000000
Correct? Yes
Problem: Instead of the 4.36 kilograms of food at each meal, what if the zoo had to feed the elephant 8 kilograms of food at each meal? How many kilograms of food would the elephant eat in total over two meals?
Gemini-1.5 Pro:
Reasoning: The elephant would eat 8*2 = <<8*2=16>>16 kilograms of food in total. ### Answer: 16 kilograms
Expected answer: 16
Correct? Yes
Problem: A specific stuffed animal weighs 1.2 pounds. If we multiply that weight by a packaging factor of 2.663, we get a new weight. If the transportation fee for shipping the stuffed animal is $4.67 per pound, what will be the total transportation fee for this stuffed animal?
Gemini-1.5 Pro:
Reasoning: First, find the new weight: 1.2 pounds * 2.663 = 3.1956 pounds Then, multiply the new weight by the transportation fee per pound to find the total cost: 3.1956 pounds * $4.67/pound = $14.92 ### Answer: $14.92
Expected answer: 14.9234520000000
Correct? Yes
Problem: In the previous scenario, let's say the packaging factor now changes to 3 times the weight of the stuffed animal which is still 1.2 pounds. If the transportation fee is still $4.67 per pound, what now is the total transportation fee for this stuffed animal?
Gemini-1.5 Pro:
Reasoning: First calculate the new weight: 1.2 pounds * 3 = 3.6 pounds Then multiply the new weight by the price per pound to find the total transportation fee: 3.6 pounds * $4.67/pound = $16.81 ### Answer: $16.81
Expected answer: 16.8120000000000
Correct? Yes
Problem: In a cafΓ©, a cup of hot chocolate costs $6.84. After seeing the high demand for this beverage, the cafΓ© owner decides to increase the price by 239%. However, due to feedback from regular customers, the owner decides to decrease the new price by $1.766. What is the new price of a cup of hot chocolate at the cafΓ©?
Gemini-1.5 Pro:
Reasoning: First find the price increase: $6.84 * 239 / 100 = $16.3476 Then add that increase to the original price to find the new price: $16.3476 + $6.84 = $23.1876 Then subtract the price decrease to find the final price: $23.1876 - $1.766 = $21.4216 So the final price of a cup of hot chocolate is $21.4216 ### Answer: $21.4216
Expected answer: 14.5816000000000
Correct? No
Problem: At the campfire, James gathered 12.291 kilograms of firewood while Ruby brought in 6.48 kilograms of firewood. What is the total weight of the firewood?
Gemini-1.5 Pro:
Reasoning: We need to add the weight of the firewood James gathered to the weight of the firewood Ruby brought. That is 12.291 kg + 6.48 kg = 18.771 kg ### Answer: 18.771 kg
Expected answer: 18.7710000000000
Correct? Yes
Problem: At the campfire, suppose James gathered 6 kilograms of firewood instead of 12.291 kilograms, while Ruby still brought in 6.48 kilograms of firewood. Now, what would be the total weight of the firewood?
Gemini-1.5 Pro:
Reasoning: We need to add the weight of the firewood James gathered to the weight of the firewood Ruby brought. That is 6 kg + 6.48 kg = 12.48 kg ### Answer: 12.48 kg
Expected answer: 12.4800000000000
Correct? Yes
Problem: The compass reads that the initial direction is 4.0 degrees, but there is a shift of 17.56 degrees to the east. How many degrees is the final direction?
Gemini-1.5 Pro:
Reasoning: A shift to the east indicates adding to the initial direction. Therefore, the final direction is 4.0 + 17.56 = 21.56 degrees. ### Answer: 21.56 degrees
Expected answer: 21.5600000000000
Correct? Yes
Problem: After the initial movement, the compass reads another directional shift this time 18.1 degrees to the west. What would be the final directional reading after this shift?
Gemini-1.5 Pro:
Reasoning: Since the initial direction changed to 21.56 degrees, we start from this new position. A shift to the west indicates subtracting from the current direction. Therefore, the final direction is 21.56 - 18.1 = 3.46 degrees. ### Answer: 3.46 degrees
Expected answer: 3.46000000000000
Correct? Yes
Problem: The compass originally pointed 10 degrees east, but then it shifted an additional 17.56 degrees further. What will be the compass's new direction in degrees after this additional shift?
Gemini-1.5 Pro:
Reasoning: Since the compass shifted further east, we add the additional shift to its original direction: 10 degrees + 17.56 degrees = 27.56 degrees ### Answer: 27.56 degrees
Expected answer: 27.5600000000000
Correct? Yes
Problem: A large cake costs $17.3. The cake shop is having a special offer where you get a pack of candles for $3.57 along with the cake. How much are you going to pay in total?
Gemini-1.5 Pro:
Reasoning: The total cost is $17.3 + $3.57 = <<17.3+3.57=20.87>>$20.87. ### Answer: $20.87
Expected answer: 20.8700000000000
Correct? Yes
Problem: The cake shop offers a special discount of $3.327 on the total cost. How much do you have to pay after applying the discount?
Gemini-1.5 Pro:
Reasoning: You have to pay $20.87 - $3.327 = <<20.87-3.327=17.543>>$17.543 after the discount. ### Answer: $17.543
Expected answer: 17.5430000000000
Correct? Yes
Problem: Suppose the cake's price was increased to $19 due to additional decorations. How much is the total cost, together with the pack of candles worth $3.57?
Gemini-1.5 Pro:
Reasoning: The total cost is $19 + $3.57 = <<19+3.57=22.57>>$22.57 ### Answer: $22.57
Expected answer: 22.5700000000000
Correct? Yes
Problem: A sleeping bag has a length of 12.2 feet and a width of 10.95 feet. What's the sum of the sleeping bag's length and width?
Gemini-1.5 Pro:
Reasoning: To find the sum, we need to add the length and width of the sleeping bag: 12.2 feet + 10.95 feet = 23.15 feet ### Answer: 23.15 feet
Expected answer: 23.1500000000000
Correct? Yes
Problem: After buying the sleeping bag, it shrunk slightly in the wash, reducing both the length and the width by a total of 1.464 feet. What is the new combined length and width of the sleeping bag after washing?
Gemini-1.5 Pro:
Reasoning: The original combined length and width of the sleeping bag was 23.15 feet. After shrinking, the combined length and width reduced by 1.464 feet. Therefore, the new combined length and width is 23.15 feet - 1.464 feet = 21.686 feet. ### Answer: 21.686 feet
Expected answer: 21.6860000000000
Correct? Yes
Problem: After the wash, you realize the width of the sleeping bag is not 10.95 feet but originally it was 8 feet. Now, what is the new total of the sleeping bag's length and width?
Gemini-1.5 Pro:
Reasoning: The length of the sleeping bag remains at 12.2 feet. We add the new width: 12.2 feet + 8 feet = 20.2 feet. ### Answer: 20.2 feet
Expected answer: 20.2000000000000
Correct? Yes
Problem: A storm is coming in and the wind speed was initially 15.1 km/hr. It then increases by 7.79 km/hr. Simultaneously, another storm was hitting from the opposite direction with wind speed of 18.002 km/hr but it decreases by 11.8 km/hr. What is the total wind speed now?
Gemini-1.5 Pro:
Reasoning: First find the new wind speed of the first storm: 15.1 km/hr + 7.79 km/hr = 22.89 km/hr. Then find the new wind speed of the second storm: 18.002 km/hr - 11.8 km/hr = 6.202 km/hr Then add those speeds together to find the total wind speed: 22.89 km/hr + 6.202 km/hr = 29.092 km/hr ### Answer: 29.092 km/hr
Expected answer: 29.0920000000000
Correct? Yes
Problem: On Joe's mountain hike, he drinks 11.2 liters of water each day. If Joe hikes for 2 days, how much water is left from a 29.99-liter water jug he carried?
Gemini-1.5 Pro:
Reasoning: Over 2 days, Joe drinks 11.2*2 = <<11.2*2=22.4>>22.4 liters of water. Joe has 29.99-22.4 = <<29.99-22.4=7.59>>7.59 liters of water left. ### Answer: 7.59 liters.
Expected answer: 7.59000000000000
Correct? Yes
Problem: Following his hike, Joe then visits a natural spring where he adds 7.9 liters of fresh water to his water jug. How much water does he have in his jug now?
Gemini-1.5 Pro:
Reasoning: Joe had 7.59 liters of water left in his jug and added 7.9 liters from the spring, making a total of 7.59 + 7.9 = <<7.59+7.9= 15.49>>15.49 liters. ### Answer: 15.49 liters.
Expected answer: 15.4900000000000
Correct? Yes
Problem: What if, instead of drinking 11.2 liters of water each day, Joe only drank 9 liters a day? After hiking for 2 days, how much water would be left from his 29.99-liter water jug?
Gemini-1.5 Pro:
Reasoning: Over 2 days, Joe drinks 9*2 = <<9*2=18>>18 liters of water. Joe has 29.99-18 = <<29.99-18=11.99>>11.99 liters of water left. ### Answer: 11.99 liters.
Expected answer: 11.9900000000000
Correct? Yes
Problem: A pillow costs $25.997. If you have a discount code that takes off $3.685, how much will the pillow cost after the discount?
Gemini-1.5 Pro:
Reasoning: We need to subtract the discount from the original price: $25.997 - $3.685 = $22.312 ### Answer: $22.312
Expected answer: 22.3120000000000
Correct? Yes
Problem: After applying the discount to the pillow, you decide to purchase an additional cushion cover that costs $3.91. How much will the total cost be for both the pillow and the cushion cover?
Gemini-1.5 Pro:
Reasoning: We need to add the price of the cushion cover to the discounted price of the pillow: $22.312 + $3.91 = $26.222 ### Answer: $26.222
Expected answer: 26.2220000000000
Correct? Yes
Problem: In the previous problem, we had mentioned how much the pillow cost after a discount. But what if the original price of the pillow had been $27 instead of $25.997 before applying the discount of $3.685? What would be the cost of the pillow then?
Gemini-1.5 Pro:
Reasoning: We need to subtract the discount from the original price: $27 - $3.685 = $23.315 ### Answer: $23.315
Expected answer: 23.3150000000000
Correct? Yes
Problem: An ice skate weighs 8.38 pounds. If we add changeable blades to the skate, which weighs 1.16 pounds, how much does the ice skate weigh in total?
Gemini-1.5 Pro:
Reasoning: To find the total weight, we need to add the weight of the skate and the blades: 8.38 pounds + 1.16 pounds = 9.54 pounds. ### Answer: 9.54 pounds
Expected answer: 9.54000000000000
Correct? Yes
Problem: A police officer is investigating two crime scenes. The first crime scene is 11.183 kilometers from the police station, and the second crime scene is 4.46 kilometers away from the first crime scene. What is the total distance the officer needs to travel to investigate both crime scenes?
Gemini-1.5 Pro:
Reasoning: To find the total distance, we need to add the distance from the police station to the first crime scene and the distance from the first crime scene to the second crime scene: 11.183 kilometers + 4.46 kilometers = 15.643 kilometers. ### Answer: 15.643 kilometers.
Expected answer: 15.6430000000000
Correct? Yes
Problem: Previously, the police officer's first crime scene was 11.183 kilometers away, and the second was an additional 4.46 kilometers. But what if the first crime scene had instead been 14 kilometers away from the station but still 4.46 kilometers away from the second crime scene? What would then be the total distance the cop needs to travel to investigate both crime scenes?
Gemini-1.5 Pro:
Reasoning: We know the first crime scene is 14 kilometers from the station, and the second crime scene is another 4.46 kilometers away. The total distance is the sum of these two distances: 14 kilometers + 4.46 kilometers = 18.46 kilometers. ### Answer: 18.46 kilometers.
Expected answer: 18.4600000000000
Correct? Yes
Problem: An alien named Zyko has 24.06 kryptonite units. However, a space villain has stolen 8.49 units from him. Zyko then discovers another hero alien has a total of 27.7 units. After Zyko's loss, how much more kryptonite does this hero have in comparison to Zyko?
Gemini-1.5 Pro:
Reasoning: First, find how much kryptonite Zyko has left: 24.06 - 8.49 = 15.57 kryptonite units Then, subtract Zyko's remaining kryptonite from the hero's kryptonite to find the difference: 27.7 - 15.57 = 12.13 kryptonite units. ### Answer: 12.13 kryptonite units
Expected answer: 12.1300000000000
Correct? Yes
Problem: Following his first discovery, Zyko learns that another friendly alien has 3.87 units more kryptonite than the hero alien. After he takes into account the kryptonite stolen from him, how much kryptonite does this second friendly alien have compared to Zyko?
Gemini-1.5 Pro:
Reasoning: First, find the total kryptonite the second friendly alien has: 27.7 + 3.87 = 31.57 kryptonite units. Then, recall that Zyko has 15.57 kryptonite units left. Finally, subtract the amount Zyko has from the second friendly alien's amount: 31.57 - 15.57 = 16 kryptonite units. ### Answer: 16 kryptonite units
Expected answer: 16.0000000000000
Correct? Yes
Problem: In a new development, it turns out the space villain only managed to steal 1 unit of kryptonite from Zyko, not 8.49 units as initially believed. With this new revelation, how much more kryptonite does the hero alien have in comparison to Zyko?
Gemini-1.5 Pro:
Reasoning: After the villain steals 1 unit, Zyko has 24.06 - 1 = 23.06 units of kryptonite left. The hero alien has 27.7 - 23.06 = 4.64 more units of kryptonite than Zyko. ### Answer: 4.64 kryptonite units
Expected answer: 4.64000000000000
Correct? Yes
Problem: A cloud is at 27.53 kilometers above the surface of the Earth. If it drops 2.411 kilometers lower, how high is the cloud from the surface of the Earth now?
Gemini-1.5 Pro:
Reasoning: We need to subtract the distance the cloud dropped from its original height: 27.53 km - 2.411 km = 25.119 km ### Answer: 25.119 km
Expected answer: 25.1190000000000
Correct? Yes
Problem: Following the previous questions, now consider if the cloud was originally at 19 kilometers above the surface of the Earth instead of 27.53 and it drops 2.411 kilometers lower as before. How high is the cloud from the surface of the Earth now?
Gemini-1.5 Pro:
Reasoning: We need to subtract the distance the cloud dropped from its original height: 19 km - 2.411 km = 16.589 km ### Answer: 16.589 km
Expected answer: 16.5890000000000
Correct? Yes
Problem: A piano tuning session costs normally $25.3. Today, there is a special offer and you can get it done for $5.433 less than the normal price! How much will the piano tuning session cost after the discount?
Gemini-1.5 Pro:
Reasoning: The piano tuning session costs $25.3-$5.433 = <<25.3-5.433=19.867>>$19.867 after the discount. ### Answer: $19.867
Expected answer: 19.8670000000000
Correct? Yes
Problem: Suppose the normal cost of the piano tuning was actually $13 instead of $25.3. With the same special offer of $5.433 off, how much will the piano tuning session cost after the discount?
Gemini-1.5 Pro:
Reasoning: The piano tuning session costs $13-$5.433 = <<13-5.433=7.567>>$7.567 after the discount. ### Answer: $7.567
Expected answer: 7.56700000000000
Correct? Yes
Problem: A swing moves forward 17.6 meters. If it swings back 8.325 meters, what is the total distance travel by the swing?
Gemini-1.5 Pro:
Reasoning: We need to add the distance covered moving forward and swinging back. The total distance traveled is 17.6 + 8.325 = 25.925 meters. ### Answer: 25.925 meters.
Expected answer: 25.9250000000000
Correct? Yes
Problem: Revisiting the previous scenario, what if the swing initially moved only 5 meters forward but still swung back 8.325 meters? What would be the total distance travelled by the swing?
Gemini-1.5 Pro:
Reasoning: Even though the swing moved a shorter distance forward initially, we still calculate the total distance by adding the forward and backward movements. The total distance traveled by the swing would be 5 + 8.325 = 13.325 meters. ### Answer: 13.325 meters.
Expected answer: 13.3250000000000
Correct? Yes
Problem: A candle maker uses 8.0 ounces of wax for one candle and tops it with 1.3 ounces of decorative wax. What is the total weight of the completed candle?
Gemini-1.5 Pro:
Reasoning: The total weight of the candle is 8.0 + 1.3 = 9.3 ounces ### Answer: 9.3 ounces
Expected answer: 9.30000000000000
Correct? Yes
Problem: The candle maker decides to make another candle of the same size. What is the total weight of both candles?
Gemini-1.5 Pro:
Reasoning: The total weight of both candles is 9.3 x 2 = 18.6 ounces. ### Answer: 18.6 ounces
Expected answer: 18.6000000000000
Correct? Yes
Problem: If the candle maker decides to use 21 ounces of wax for a candle instead of 8 ounces, but keeps the weight of decorative wax the same, what would be the total weight of the new candle?
Gemini-1.5 Pro:
Reasoning: The total weight of the new candle would be 21 + 1.3 = 22.3 ounces. ### Answer: 22.3 ounces
Expected answer: 22.3000000000000
Correct? Yes
Problem: The length of a jumbo eraser is 29.0 cm. However, it is then cut down to 19.078 cm. Another piece measuring 8.197 cm is also cut off from it. If you then add a piece measuring 14.4 cm to it, what is the new length of the eraser?
Gemini-1.5 Pro:
Reasoning: The total length cut off from the eraser is 19.078 cm + 8.197 cm = <<19.078+8.197=27.275>>27.275 cm The length of the eraser after the pieces are cut off is 29.0 cm - 27.275 cm = <<29-27.275=1.725>>1.725 cm Adding the 14.4 cm piece results in an eraser with length 1.725 cm + 14.4 cm = <<1.725+14.4=16.125>>16.125 cm ### Answer: 16.125 cm
Expected answer: 16.1250000000000
Correct? Yes
Problem: A snowman was made on a snowy day. At first, it was 12.903 feet high. But, after a couple of hours, due to the heat from the sun, it had melted down to 2.624 feet. How much height did the snowman lose?
Gemini-1.5 Pro:
Reasoning: To find the height that the snowman lost, we need to subtract the final height from the initial height: 12.903 feet - 2.624 feet = 10.279 feet. ### Answer: 10.279 feet
Expected answer: 10.2790000000000
Correct? Yes
Problem: After the snowman melted to 2.624 feet, a fresh layer of snow fell overnight and added the exact amount of height that the snowman lost back onto it. What is the height of the snowman the next morning?
Gemini-1.5 Pro:
Reasoning: The snowman lost 10.279 feet of height due to melting. This same amount was added back on overnight, so we add the lost height to the snowman's shortest height: 2.624 feet + 10.279 feet = 12.903 feet. ### Answer: 12.903 feet
Expected answer: 12.9030000000000
Correct? Yes
Problem: In a sandbox, children have poured 17.985 kilograms of sand into different playing areas. If they want to divide the sand equally into 5.45 areas, how much sand will each area get?
Gemini-1.5 Pro:
Reasoning: To divide the sand equally, we perform the calculation 17.985 kg / 5.45 areas = <<17.985/5.45=3.3>> 3.3 kg of sand per area. ### Answer: 3.3 kg
Expected answer: 3.30000000000000
Correct? Yes
Problem: In the same sandbox, the children have decided instead to divide the original 17.985 kilograms of sand equally into 11 different play areas. How much sand would each area get now?
Gemini-1.5 Pro:
Reasoning: We need to divide the total amount of sand (17.985 kg) by the number of play areas (11): 17.985 kg / 11 areas = <<17.985/11=1.635>> 1.635 kg of sand per area. ### Answer: 1.635 kg
Expected answer: 1.63500000000000
Correct? Yes
Problem: If a gift's initial price was $24.17, and they added $3.802 for gift wrapping, how much would the final cost of the gift be?
Gemini-1.5 Pro:
Reasoning: The final cost of the gift would be $24.17 + $3.802 = $27.972. ### Answer: $27.972
Expected answer: 27.9720000000000
Correct? Yes
Problem: If a gift's initial price was $24.17, and they added $3.802 for gift wrapping, how much would the final cost of the gift be? Additionally, if the customer used a discount coupon worth $10.7, what would be the total cost of the gift after applying the discount?
Gemini-1.5 Pro:
Reasoning: The final cost of the gift would be $24.17 + $3.802 = $27.972. After applying the discount coupon, the total cost would be $27.972 - $10.7 = $17.272. ### Answer: $17.272
Expected answer: 17.2720000000000
Correct? Yes
Problem: If instead of the original price being $24.17, the gift only cost $4, and they still added $3.802 for gift wrapping, what would the final cost of the gift then be?
Gemini-1.5 Pro:
Reasoning: The final cost of the gift would be $4 + $3.802 = $7.802 ### Answer: $7.802
Expected answer: 7.80200000000000
Correct? Yes
Problem: A baker has 15.643 kilograms of sugar and 10.24 kilograms of flour. If they use 8.8 kilograms of the total ingredients for baking a cake, how many kilograms of ingredients are left?
Gemini-1.5 Pro:
Reasoning: The baker has 15.643 kg (sugar) + 10.24 kg (flour) = <<15.643+10.24=25.883>>25.883 kg of ingredients. Therefore, 25.883 kg (total) - 8.8 kg (used) = <<25.883 - 8.8=17.083>>17.083 kg of ingredients are left. ### Answer: 17.083 kg
Expected answer: 17.0830000000000
Correct? Yes
Problem: Now, consider if the baker has a smaller amount of sugar, 7 kilograms instead of 15.643 kilograms. Given the same amount of flour (10.24 kilograms) and the same amount of total ingredients used for the cake (8.8 kilograms), how many kilograms of ingredients are left now?
Gemini-1.5 Pro:
Reasoning: The baker has 7 kg (sugar) + 10.24 kg (flour) = <<7+10.24=17.24>>17.24 kg of ingredients. Therefore, 17.24 kg (total) - 8.8 kg (used) = <<17.24 - 8.8=8.44>>8.44 kg of ingredients are left. ### Answer: 8.44 kg
Expected answer: 8.44000000000000
Correct? Yes
Problem: Inside your wallet, you have $13.32. But you decided to buy a wallet organizer that costs $7.612. After purchasing, you find $22.013 inside the pocket of the organizer. How much money do you have in total now?
Gemini-1.5 Pro:
Reasoning: After buying the wallet organizer, you have $13.32 - $7.612 = $5.708 left. Adding the money you found inside your new organizer, you now have a total of $5.708 + $22.013 = $27.721 ### Answer: $27.721
Expected answer: 27.7210000000000
Correct? Yes
Problem: Now suppose you initially started with $13.32 in your wallet, but this time you bought a different wallet organizer that costs $10. After your purchase, you find the same $22.013 inside the pocket of this different organizer. How much money do you have in total now?
Gemini-1.5 Pro:
Reasoning: After buying the second wallet organizer, you have $13.32 - $10 = $3.32 left. Adding the money you found inside this new organizer, you now have a total of $3.32 + $22.013 = $25.333 ### Answer: $25.333
Expected answer: 25.3330000000000
Correct? Yes
Problem: A luxury pillow costs $25.15. However, there's a sale that reduces the price by $5.1. What is the price of the pillow after the discount?
Gemini-1.5 Pro:
Reasoning: The price of the pillow after the discount is $25.15 - $5.1 = $<<25.15-5.1=20.05>>20.05 ### Answer: $20.05
Expected answer: 20.0500000000000
Correct? Yes
Problem: After purchasing the discounted pillow, Carl decided to buy an additional decorative pillow cover that cost $7. If the original discounted price of the pillow was $25.15 - $5.10, how much did Carl pay in total for the pillow and the cover?
Gemini-1.5 Pro:
Reasoning: The discounted price of the pillow is $25.15 - $5.10 = $20.05. Therefore, Carl paid a total of $20.05 + $7.00 = $<<20.05+7=27.05>>27.05 for the pillow and the cover. ### Answer: $27.05
Expected answer: 27.0500000000000
Correct? Yes
Problem: If the original price of the pillow before the sale was instead $8.00 but the discount was still $5.10, what would be the new price of the discounted pillow?
Gemini-1.5 Pro:
Reasoning: Since the discount is greater than the original price, the pillow's price cannot go below $0. We can find the difference, then reason through the problem: $8.00 - $5.10 = $2.90. Since $2.90 is positive, this means the price would go down to $0, but we would still need to reduce the price by another $2.90. Because prices can't be negative, the final price would be $0. ### Answer: $0
Expected answer: 2.90000000000000
Correct? No
Problem: A pirate has found a treasure chest weighing 15.5 kg! But the chest's lock weights 3.8 kg. How much does the actual treasure inside the chest weigh?
Gemini-1.5 Pro:
Reasoning: To find the weight of the treasure, we need to subtract the weight of the lock from the total weight of the chest: 15.5 kg - 3.8 kg = 11.7 kg ### Answer: 11.7 kg
Expected answer: 11.7000000000000
Correct? Yes
Problem: The pirate actually counted his treasure wrong and there were 29 kg of treasure instead of 15.5 kg initially. After subtracting the 3.8 kg the lock on the chest weighs, how much does the corrected weight of the treasure inside the chest come to?
Gemini-1.5 Pro:
Reasoning: We need to subtract the weight of the lock from the corrected total weight of the treasure: 29 kg - 3.8 kg = 25.2 kg ### Answer: 25.2 kg
Expected answer: 25.2000000000000
Correct? Yes
Problem: The length of Slide A in the park is 16.638 meters while Slide B is shorter measuring 6.45 meters. What is the total length of both slides?
Gemini-1.5 Pro:
Reasoning: To get the total length of both slides, we will add the length of slide A which is 16.638 meters to the length of slide B which is 6.45 meters, for a total length of 16.638+6.45 = <<16.638+6.45=23.088>>23.088 meters. ### Answer: 23.088 meters.
Expected answer: 23.0880000000000
Correct? Yes
Problem: Suppose they now added another Slide C in the park with a length of 21 meters while the length of Slide B remains at 6.45 meters. What would be the total length of both slides now?
Gemini-1.5 Pro:
Reasoning: To get the total length of Slides B and C, we add their lengths: 6.45 meters + 21 meters = 27.45 meters. ### Answer: 27.45 meters.
Expected answer: 27.4500000000000
Correct? Yes
Problem: The train ticket for a one-way trip from City A to City B costs $13.868. If a passenger wants to buy a round-trip ticket from City A to City B and back to City A, how much does it cost?
Gemini-1.5 Pro:
Reasoning: A round-trip ticket means buying two one-way tickets: one from City A to City B and another one from City B to City A. Therefore, the cost of a round-trip ticket is $13.868 x 2 = $<<13.868*2=27.736>>27.736. ### Answer: $27.736
Expected answer: 27.7360000000000
Correct? Yes
Problem: Now consider that train tickets for a one-way trip from City A to City B are revised and cost $2 instead of $13.868. If a passenger wants to buy a round-trip ticket from City A to City B and back to City A, what is the new cost?
Gemini-1.5 Pro:
Reasoning: A round-trip ticket still requires purchasing two one-way tickets. With the new price, a round-trip ticket would cost $2 x 2 = $<<2*2=4>>4. ### Answer: $4
Expected answer: 4
Correct? Yes
Problem: A box of colored pencils costs $14.93. If Kai buys 2 boxes of colored pencils, how much does he spend?
Gemini-1.5 Pro:
Reasoning: Kai spends $14.93 x 2 = $<<14.93*2=29.86>>29.86 on two boxes of colored pencils. ### Answer: $29.86
Expected answer: 29.8600000000000
Correct? Yes
Problem: If a box of colored pencils actually costs $6 instead of $14.93, how much would Kai spend to buy 2 boxes?
Gemini-1.5 Pro:
Reasoning: Kai spends $6 x 2 = $<<6*2=12>>12 on two boxes of colored pencils. ### Answer: $12
Expected answer: 12
Correct? Yes
Problem: A robot needs precisely 21.3 volts to work perfectly. If there is only 15.433 volts left in the battery, how many more volts are required to make the robot function ideally?
Gemini-1.5 Pro:
Reasoning: We need to subtract the available voltage from the ideal voltage: 21.3 - 15.433 = <<21.3-15.433=5.867>>5.867 ### Answer: 5.867 volts
Expected answer: 5.86700000000000
Correct? Yes
Problem: In the previous scenario, the robot needed 21.3 volts to operate perfectly. Suppose now the battery already has 13 volts. How many more volts are required now to make the robot function ideally?
Gemini-1.5 Pro:
Reasoning: We need to subtract the available voltage from the ideal voltage: 21.3 - 13 = <<21.3-13=8.3>>8.3 ### Answer: 8.3 volts
Expected answer: 8.30000000000000
Correct? Yes
Problem: A jar of turquoise paint costs $7.949, while a jar of navy blue paint costs $20.16. If you have a discount coupon that subtracts $8.405 from your total cost, what is the final price for purchasing both jars of paint?
Gemini-1.5 Pro:
Reasoning: The turquoise and navy blue paint together cost $7.949 + $20.16 = $<<7.949+20.16=28.109>>28.109 After the discount, the final price is $28.109 - $8.405 = $<<28.109-8.405=19.704>>19.704 ### Answer: $19.704
Expected answer: 19.7040000000000
Correct? Yes
Problem: Assuming that the price of the jar of turquoise paint was actually $4 instead of $7.949, the cost of the two jars of paint would be different. If you still apply the discount coupon that subtracts $8.405 from your total cost, what is the final price now for purchasing both the jar of turquoise paint and the jar of navy blue paint?
Gemini-1.5 Pro:
Reasoning: The turquoise and navy blue paint together cost $4 + $20.16 = $<<4+20.16=24.16>>24.16 After the discount, the final price is $24.16 - $8.405 = $<<24.16-8.405=15.755>>15.755 ### Answer: $15.755
Expected answer: 15.7550000000000
Correct? Yes
Problem: A scooter initially travels 3.566 km before making a stop. After the brief stop, it goes on for another 19.63 km. How many kilometers did the scooter travel in total?
Gemini-1.5 Pro:
Reasoning: We need to add the distance covered before the stop and the distance covered after the stop to find the total distance. This means we need to calculate 3.566 km + 19.63 km = <<3.566+19.63=23.196>>23.196 km. ### Answer: 23.196 km
Expected answer: 23.1960000000000
Correct? Yes
Problem: After travelling a combined total of 3.566 km and 19.63 km, the scooter then reverses its direction and goes back 5.364 km. How many kilometers is the scooter now from its original starting position?
Gemini-1.5 Pro:
Reasoning: First find the total distance traveled forward: 3.566 km + 19.63 km = 23.196 km Then subtract the distance traveled backward to find the remaining distance from the starting point: 23.196 km - 5.364 km = 17.832 km. ### Answer: 17.832 km
Expected answer: 17.8320000000000
Correct? Yes
Problem: After considering the initial 3.566 km the scooter had travelled, suppose it only travelled an additional 5 km instead of 19.63 km before making the stop. What is the new total distance the scooter travelled?
Gemini-1.5 Pro:
Reasoning: We need to add the initial distance travelled to the distance travelled after to get the total distance. This means we need to calculate 3.566 km + 5 km = <<3.566+5=8.566>>8.566 km ### Answer: 8.566 km
Expected answer: 8.56600000000000
Correct? Yes
Problem: In a party, John noticed that he has 24.644 ounces of juice left. If he remembers that he started with 19.226 ounces, how many ounces of juice did he have to add?
Gemini-1.5 Pro:
Reasoning: To find out how many ounces of juice John added, we need to subtract the amount he started with from the amount he has now: 24.644 ounces - 19.226 ounces = 5.418 ounces. ### Answer: 5.418 ounces.
Expected answer: 5.41800000000000
Correct? Yes
Problem: In the same party, after John found out how much juice he added, he decided to add an additional 13.9 ounces of juice. How much juice does he currently have now?
Gemini-1.5 Pro:
Reasoning: John currently has 24.644 ounces of juice, and he wants to add 13.9 ounces. To find the total amount after adding, we perform the addition: 24.644 ounces + 13.9 ounces = 38.544 ounces. ### Answer: 38.544 ounces.
Expected answer: 19.3180000000000
Correct? No
Problem: In the same party, what if John initially had 20 ounces of juice instead of 24.644 ounces before he added more? How much juice would he have added to reach 24.644 ounces?
Gemini-1.5 Pro:
Reasoning: To determine how much juice John added, we subtract his initial amount from his final amount: 24.644 ounces - 20 ounces = 4.644 ounces. ### Answer: 4.644 ounces.
Expected answer: 4.64400000000000
Correct? Yes
Problem: The intensity of the sun's radiation outside of Earth's atmosphere is approximately 19.4 kilowatts per square meter. If you further absorb an additional 2.38 kilowatts per square meter due to a scientific experiment, what is the total intensity of the absorbed solar radiation in kilowatts per square meter?
Gemini-1.5 Pro:
Reasoning: The total intensity of absorbed solar radiation is calculated by adding the sun's intensity outside Earth's atmosphere to the additional absorption from the experiment: 19.4 kW/mΒ² + 2.38 kW/mΒ² = 21.78 kW/mΒ². ### Answer: 21.78 kW/mΒ²
Expected answer: 21.7800000000000
Correct? Yes
Problem: Suppose in a new experiment, the intensity of the sun's radiation outside of Earth's atmosphere is slightly stronger, and is now 21 kilowatts per square meter. If you further absorb an additional 2.38 kilowatts per square meter due to this experiment, what is the total intensity of the absorbed solar radiation now in kilowatts per square meter?
Gemini-1.5 Pro:
Reasoning: We simply add the sun's new intensity to the additional absorption from the experiment: 21 kW/mΒ² + 2.38 kW/mΒ² = 23.38 kW/mΒ². ### Answer: 23.38 kW/mΒ²
Expected answer: 23.3800000000000
Correct? Yes
Problem: At noon, the sun's temperature is 18.22 million degrees Fahrenheit. But as the afternoon progresses, the temperature drops to 14.558 million degrees Fahrenheit. What is the decrease in the sun's temperature?
Gemini-1.5 Pro:
Reasoning: We need to subtract the lower temperature from the higher temperature to find the decrease. 18.22 million - 14.558 million = 3.662 million degrees Fahrenheit. ### Answer: 3.662 million degrees Fahrenheit
Expected answer: 3.66200000000000
Correct? Yes
Problem: Following the decrease in the sun's temperature, scientists observe that for every degree decrease, solar energy reaching Earth reduces by 7.6%. How much has the solar energy reduced by, when the sun's temperature dropped from 18.22 million degrees Fahrenheit to 14.558 million degrees Fahrenheit?
Gemini-1.5 Pro:
Reasoning: First, we find the total decrease in temperature: 18.22 million degrees Fahrenheit - 14.558 million degrees Fahrenheit = 3.662 million degrees Fahrenheit. Then, we multiply this temperature decrease by the percentage reduction per degree: 3.662 million degrees Fahrenheit * 7.6% per degree Fahrenheit = 27.8312% ### Answer: 27.8312%
Expected answer: 27.8312000000000
Correct? Yes
Problem: Given the previous scenario about the sun's temperature decreasing from 18.22 million degrees Fahrenheit in the afternoon, imagine instead that the temperature reduced more drastically to 6 million degrees. What would then be the decrease in the sun's temperature?
Gemini-1.5 Pro:
Reasoning: We need to subtract this new lower temperature from the initial higher temperature to find the decrease. 18.22 million - 6 million = 12.22 million degrees Fahrenheit. ### Answer: 12.22 million degrees Fahrenheit
Expected answer: 12.2200000000000
Correct? Yes
Problem: A farmer has a banana tree that typically yields 1.6 kg of bananas. One day, there is an additional 3.443 kg increase in the weight of bananas. How much does the banana tree yield now?
Gemini-1.5 Pro:
Reasoning: To find the total weight of bananas the tree yields now, we add the typical yield to the increase: 1.6 kg + 3.443 kg = 5.043 kg ### Answer: 5.043 kg
Expected answer: 5.04300000000000
Correct? Yes
Problem: If instead of the initial yield being 1.6 kg, it was 6 kg and the same 3.443 kg increase occurs, how much would the banana tree yield then?
Gemini-1.5 Pro:
Reasoning: We would add the increase to the new initial yield: 6 kg + 3.443 kg = 9.443 kg ### Answer: 9.443 kg
Expected answer: 9.44300000000000
Correct? Yes
Problem: A giraffe eats 22.3 pounds of leaves in the morning and 6.1 pounds later in the afternoon. If 7.58 pounds of the eaten leaves were not digested, how many pounds were digested?
Gemini-1.5 Pro:
Reasoning: The giraffe ate 22.3 + 6.1 = <<22.3+6.1=28.4>>28.4 pounds of leaves that day. Thus, 28.4 - 7.58 = <<28.4-7.58=20.82>>20.82 pounds were digested. ### Answer: 20.82 pounds
Expected answer: 20.8200000000000
Correct? Yes
Problem: If instead of 6.1 pounds, the giraffe only ate 4 pounds of leaves in the afternoon, and still, 7.58 pounds were not digested, how many pounds were now digested?
Gemini-1.5 Pro:
Reasoning: The giraffe ate 22.3 + 4 = <<22.3+4=26.3>>26.3 pounds of leaves that day. Thus, 26.3 - 7.58 = <<26.3 - 7.58 = 18.72>>18.72 pounds were digested. ### Answer: 18.72 pounds
Expected answer: 18.7200000000000
Correct? Yes