Reasoning and answer: Since someone running twice as fast a mile as another person would mean they complete the mile in half as much time, this means Tony would run a mile in 6 / 2 = 3 minutes since Tina's time was 6 minutes. Since Tom is three times as fast as Tina, for the same reasons as above this means his time is 6 / 3 = 2 minutes. Altogether then, the total time for all three is then 6 + 3 + 2 = 11 minutes.
The answer: 11
What was the question?
Question: Tony can run a mile twice as fast as Tina, who with a time of 6 minutes is one-third as fast a runner as Tom. What are all three of their mile times when added together?
30 students were asked to bring in 12 brownies so they will bring in 30 * 12 = 360 brownies. 20 students were asked to bring in 24 cookies each so that's 20 * 24 = 480 cookies. 15 students were asked to bring in 12 donuts each so that's 15 * 12 = 180 donuts. Together, they have 360 + 480 + 180 = 1,020 treats. If they sell all the treats for $2.00 each then they will make 1020 * 2 = $2,040.00.
The answer: 2040
Reverse engineering the question: For a class fundraiser, 30 students were asked to bring in 12 brownies each. 20 students were asked to bring in 24 cookies each and 15 students were asked to bring in 12 donuts each. If they sell everything for $2.00 each, how much money will they raise?
Reasoning and answer: First, the initial, pre - inflation, cost of the project was 450 + 30 + 80 = $560. Then, the price of the lumber increased to 450 * 1.20 = $540. Similarly, the price of the nails increased to 30 * 1.10 = $33. And the price of the fabric increased to 80 * 1.05 = $84. Therefore, the new, post - inflation, cost of the project is 540 + 33 + 84 = $657. Thus, the cost has increased by 657 - 560 = $97.
The answer: 97
What was the question?
Question: A father is building a playset for his son and needs to purchase lumber, nails, and fabric. When he started planning the project, the necessary lumber cost $450, the nails cost $30, and the fabric cost $80. However, recent economic inflation has caused the price of lumber to increase by 20%, the price of nails to increase by 10%, and the price of fabric to increase by 5%. In dollars, how much more money will it cost to complete the project now (after inflation) than it would have when the father began planning?
There are 40 x 25% = 10 students who wear glasses. There are 40 x 40% = 16 students who wear contact lenses. There are 10 + 16 = 26 students who wear vision assistance. There are 40 - 26 = 14 students who do not wear any vision assistance wear.
The answer: 14
Reverse engineering the question: There are 40 students in the 6th grade. 25% of them wear glasses and 40% of them wear contact lenses. How many students do not wear any vision assistance wear?
Reasoning and answer: To make the cakes, Traci and Harris used a total of 9 cakes * 100g of flour per cake = 900g of flour. Traci therefore brought 900g of needed flour 400g of flour from Harris' flour = 500g of flour from her own house.
The answer: 500
What was the question?
Question: Traci and Harris are baking cakes together. Traci has brought flour from her own house and Harris has 400g of flour in his house. Each cake needs 100g of flour and Traci and Harris have created 9 cakes each. How much flour, in grams, did Traci bring from her own house?
Reasoning and answer: Find the total cost of the cappuccinos by multiplying the price by the quantity: 3 cappuccinos x $2 / cappuccino = $6. Then do the same for the iced teas: 2 iced teas x $3 / tea = $6. Then do the same for the cafe lattes: 2 lattes x $1.5 / latte = $3. Then do the same for the espressos: 2 espressos x $1 = $2. In total Sandy pays $6 + $6 + $3 + $2 = $17. Sandy will receive $20 - $17 = $3 in change.
The answer: 3
What was the question?
Question:
Cappuccinos cost $2, iced teas cost $3, cafe lattes cost $1.5 and espressos cost $1 each. Sandy orders some drinks for herself and some friends. She orders three cappuccinos, two iced teas, two cafe lattes, and two espressos. How much change does she receive back for a twenty-dollar bill?