Q: The total number of years in a century is the same as the number of marbles Gideon has. If he gives 3/4 of the marbles to his sister and multiples the number of remaining marbles by 2, he gets his age five years from now. How old is Gideon now?
A: A century has 100 years, and if Gideon has as many marbles as the number of years in a century, he has 100 marbles. If he gives 3 / 4 of the marbles to his sister, he gives out 3 / 4 * 100 = 75 marbles. Gideon's total number of marbles remaining after giving 3 / 4 of the marbles to his sister is 100 - 75 = 25. When he multiplies the number of remaining marbles by 2, he gets his age five years from now, meaning he will be 25 * 2 = 50 years old five years from now. Currently, Gideon is 50 - 5 = 45 years old. The answer is 45.
Question: Damien jogs 5 miles per day on weekdays only. How many miles does he run over three weeks?
Answer: Three weeks at 5 days per week means Damien runs 3 * 5 = 15 times in three weeks. If each time he runs 5 miles, then over 15 running days he covers 5 * 15 = 75 miles. The answer is 75.
[Question]Tom paints a room that has 5 walls. Each wall is 2 meters by 3 meters. John can paint 1 square meter every 10 minutes. He has 10 hours to paint everything. How many hours does he have to spare?
[Answer]Each wall is 2 * 3 = 6 square meters. So each wall takes 6 * 10 = 60 minutes to paint. So it takes 60 / 60 = 1 hour to paint each wall. That means in total it takes 5 * 1 = 5 hours to paint. So he has 10 - 5 = 5 hour left after finishing painting. The answer is 5.
Q: Tom eats a pound of carrots and twice as much broccoli. If carrots have 51 calories per pound and broccoli has 1/3 that many calories, how many calories did he eat in total?
A: He ate 2 * 1 = 2 pounds of broccoli. There are 51 / 3 = 17 calories in each pound of broccoli. So he ate 2 * 17 = 34 calories of broccoli. He ate 1 * 51 = 51 calories of carrots. So in total he ate 51 + 34 = 85 calories. The answer is 85.
Question: If Layla scored 104 goals in four hockey games and Kristin scored 24 fewer goals in the same four games, calculate the average number of goals the two scored.
Answer: If Layla scored 104 goals in four hockey games and Kristin scored 24 fewer goals in the same four games, Kristin scored 104 - 24 = 80 goals. The combined number of goals they scored is 80 + 104 = 184. The average number of goals they scored is 184 / 2 = 92. The answer is 92.
Q: Linda makes and sells necklaces at craft fairs. At her most recent fair she sold 4 necklaces and 8 rings for a total of $80. If each necklace costs $12, how much does each ring cost?
A:
Let’s use r for the cost of each necklace. 4 * 12 + 8 * r = 80. 48 + 8 * r = 80. 8 * r = 80 - 48 = 32. 8r = 32. r = 4 dollars for each ring. The answer is 4.