Q: Ahmed is 11 years old and Fouad is 26 years old. In how many years will Fouad's age be double Ahmed's current age?
A: Let X be the number of years before Fouad's age doubles Ahmed's age. So (X + 11) * 2 = X + 26. So X * 2 + 22 = X + 26. So X = 26 - 22 = 4 years. The answer is 4.
Question: Jorge bought 24 tickets for $7 each. For purchasing so many, he is given a discount of 50%. How much, in dollars, did he spend on tickets?
Answer: Jorge spent 24 tickets * $7 per ticket = $168 total. After applying the discount, Jorge spent $168 * 0.50 = $84. The answer is 84.
[Question]Abigail is trying a new recipe for a cold drink. It uses 1/4 of a cup of iced tea and 1 and 1/4 of a cup of lemonade to make one drink. If she fills a pitcher with 18 total cups of this drink, how many cups of lemonade are in the pitcher?
[Answer]Each drink uses 1.5 cups because 1 / 4 cup + 1 and 1 / 4 cup = 1.5 cups. The pitcher contains 12 total drinks because 18 / 1.5 = 12. There are 15 cups of lemonade in the pitcher because 12 x 1 and 1 / 4 = 15. The answer is 15.
Q: Carmela has $7 and each of her four cousins has $2. How much will Carmela have to give to each of her cousins so that she and her cousins will have the same amount of money?
A: Carmela's four cousins have a total of $2 x 4 = $8. The total money they all have is $7 + $8 = $15. There will be 1 (Carmela) + 4 (cousins) = 5 people who will be sharing equally the money. So each of them should get $15 / 5 = $3. Hence, Carmela has to give a total of $7 - $3 = $4 to her 4 cousins. Therefore, each of her cousins will get $4 / 4 = $1. The answer is 1.
Question: A rancher owns a mixture of 8 sheep and 5 cattle that graze on his land. In a typical year, the rancher will allow his animals to feed off his pastures for as long as possible before they run out of grass. After the pastures run out of grass, he must buy feed corn for $10 per bag. Each cow eats 2 acres of grass per month, and each sheep eats 1 acre of grass per month. Additionally, a bag of feed corn can feed each cow for 1 month and each sheep for 2 months. If the rancher's pasture contains 144 acres of grass, how much will the rancher need to spend on feed corn to feed his animals each year?
Answer: First, the 144 acres of grass will be eaten according to the equation 5 * 2 * T + 8 * 1 * T = 144. Solving this equation for T, we find 18 * T = 144, or T = 8 months of food are covered by the animals grazing on the rancher's pasture. This means the farmer must buy feed corn for the remaining 12 - 8 = 4 months. Next, the rancher's 8 sheep will require 4 / 2 = 2 bags of feed corn each, or 8 * 2 = 16 bags of feed corn in total for the 4 month period. The rancher's 5 cows will require 4 / 1 = 4 bags of feed corn each, or 5 * 4 = 20 bags of feed corn in total for the month. Therefore, the rancher needs 16 + 20 = 36 bags of feed corn for all of his animals. So, the rancher will need to spend 36 * 10 = $360 per year on feed corn. The answer is 360.
Q: Roosevelt High school plays a basketball tournament with Greendale High school. Roosevelt high school scores 30 points in the first game, half as much in the second game, and triple as much as the second game in the third game. At the end of the tournament, Roosevelt high school receives 50 bonus points and Greendale high school has 10 points less than Roosevelt high school. How many points does Greendale high school have?
A:
The points Roosevelt high school has for the second game are 30 / 2 = 15 points. The points Roosevelt high school has for the third game are 15 * 3 = 45 points. The total points Roosevelt high school has for the tournament are 30 + 15 + 45 + 50 = 140 points. The total points Greendale high school has for the tournament are 140 - 10 = 130 points. The answer is 130.