First find the total number of legos on the bottom layer: 7 legos * 7 legos = 49 legos. Then find the number of legos per side on the next layer: 7 legos - 1 lego = 6 legos. Then find the total number of legos on the second level: 6 legos * 6 legos = 36 legos. Then find the number of legos per side on the top level: 6 legos - 1 lego = 5 legos. Then find the total number of legos on the top level: 5 legos * 5 legos = 25 legos. Then add the number of legos on each level to find the total number of legos: 49 legos + 36 legos + 25 legos = 110 legos.
The answer: 110
Reverse engineering the question: Bob wants to build a pyramid out of legos with 3 levels where the bottom level has 7 legos per side and each level has one less lego per side than the level below it. How many legos total will he need?
Reasoning and answer: Calculus: 4 years. Algebra: 4(2) = 8 years. Statistics: 8(5) = 40 years. Total number of years taught: 4 + 8 + 40 = 52 years.
The answer: 52
What was the question?
Question: Devin teaches one math course per year. He taught Calculus for 4 years, Algebra for twice as many years, and Statistics for 5 times as long as he taught Algebra. How many years has Devin taught?
At their following away game, Lola's team scored half as many points as at their home game, so they scored 62 / 2 = 31 points. At the second away game, they scored 31 + 18 = 49 points. At the third away game, they scored 49 + 2 = 51 points. A cumulative score of four times their last home game is 4 * 62 = 248 points. Thus, Lola's team has to score 248 - 193 = 55 points to bring their cumulative points up to 248.
The answer: 55
Reverse engineering the question: Lola plays basketball on her school team. Her team scored twice at many points at their last home game than their first away game. At the second away game, they scored eighteen points more than the previous away game. At the third away game, they scored two more points than at their second. If Lola's team scored 62 points at their last home game, how many points do they have to score in their next game to bring their cumulative points up to four times the score from their last home game?
Reasoning and answer: After Ricky's little sister takes 4 roses, Ricky has 40 - 4 = 36 roses. Ricky can give each person 36 / 9 = 4 roses.
The answer: 4
What was the question?
Question: Ricky has 40 roses. His little sister steals 4 roses. If he wants to give away the rest of the roses in equal portions to 9 different people, how many roses will each person get?
The ash cloud spread out 300 * 18 = 5400 feet in diameter. The radius is half the diameter, so the ash cloud had a radius of 5400 / 2 = 2700 feet.
The answer: 2700
Reverse engineering the question: A volcano erupts and spews ash into the sky. The ash cloud spreads out in a diameter eighteen times as far as the distance it shot up into the sky. If the ashes erupted three hundred feet into the sky, what was the radius of the ash cloud in feet?
Amount spent on textbooks is 960 / 2 = 480 dollars. Amount spent on school supplies is 480 / 4 = 120 dollars. Amount Derek has left 960 - 480 - 120 = 360 dollars.
The answer: 360
Reverse engineering the question:
Derek has $960 to buy his books for the semester. He spends half of that on his textbooks, and he spends a quarter of what is left on his school supplies. What is the amount of money Derek has left?