Reasoning and answer: They scored an average of 720 / 24 = 30 points in their previous games. Half that many would be 30 / 2 = 15 points. So in the finals, they scored 15 - 2 = 13 points. Their opponent thus scored 13 - 2 = 11 points.
The answer: 11
What was the question?
Question: UF got into the national championship. For them to get into the championship, they scored a total of 720 points during their previous 24 games. In the championship game, however, their opponent was much stronger than any other team they had previously gone against and they scored 2 points less than half as much as they had previously scored in each of the 24 games. Their opponent only lost by 2 points. How many points did their opponent score?
Louise has 20 red pencils * 2 = 40 blue pencils. She therefore has 20 red pencils + 40 blue pencils = 60 green pencils. In total, she has 20 red pencils + 40 blue pencils + 60 green pencils + 40 yellow pencils = 160 pencils. As each box holds 20 pencils, she needs 160 pencils / 20 pencils / box = 8 boxes.
The answer: 8
Reverse engineering the question: Louise is organizing her pencils, and decides she wants her boxes arranged by color. Each box holds 20 pencils each. She has 20 red pencils, twice as many blue pencils, 40 yellow pencils, and has as many green pencils as she has red and blue pencils combined. How many boxes does Louise need?
Reasoning and answer: He needs to walk 63,000 steps in a week because 7 x 9,000 = 63,000. He has 18,100 steps to walk on Friday and Saturday because 63,000 - 9,400 - 9,100 - 8,300 - 9,200 - 8,900 = 18,100. He needs to walk an average of 9,050 on Friday and Saturday because 18,100 / 2 = 9,050.
The answer: 9050
What was the question?
Question: Toby wants to walk an average of 9,000 steps per day over the next week. On Sunday he walked 9,400 steps. On Monday he walked 9,100 steps. On Tuesday he walked 8,300 steps. On Wednesday he walked 9,200 steps. On Thursday he walked 8,900 steps. How many steps does he need to average on Friday and Saturday to meet his goal?
Carter is twice as tall as 24" dog so he is 2 * 24 = 48". Betty is 12" shorter than Carter so Betty is 48 - 12 = 36" tall. 12" is the same as 1 foot so Betty is 36 / 12 = 3 feet tall.
The answer: 3
Reverse engineering the question: Carter is twice as tall as his 24" tall dog. Betty is 12" shorter than Carter. How tall is Betty in feet?
Reasoning and answer: He takes 12 / 4 = 3 doses. Each dose is 500 * 2 = 1000 mg. So he takes 3 * 1000 = 3000 mg. So he takes 3000 / 1000 = 3 grams of Tylenol.
The answer: 3
What was the question?
Question: Mark has a really bad headache. He takes 2 Tylenol tablets of 500 mg each and he does every 4 hours for 12 hours. How many grams of Tylenol does he end up taking?
Reasoning and answer: If Harvey ran 8 more miles, then he ran a total of 12 miles + 8 miles = 20 miles. The two friends ran a total of 20 miles + 12 miles = 32 miles.
The answer: 32
What was the question?
Question:
Harvey and his friend Sam decided to run a footrace in their school track field to see who was better at running. While at it, Harvey runs 8 miles more than his friend Sam, who runs a total of 12 miles. Calculate the total number of miles the two friends run together.