Q: On his farm, Mr. Mathews has goats and sheep in the ratio of 5:7. He decides to sell half of the goats at $40 each and 2/3 of the sheep at $30 each. How much money does he make from the sale of the animals if the total number of sheep and goats on the farm is 360?
A: The total ratio of goats and sheep on the farm is 5 + 7 = 12. The fraction that represents goats from the total ratio is 5 / 12, and since there are 360 goats and sheep on the farm, the number of goats is 5 / 12 * 360 = 150. The number of sheep on Mr. Mathews's farm is 360 - 150 = 210. Mr. Mathews sold 1 / 2 * 150 = 75 goats. If each goat went for $40, the total amount of money Mr. Mathews made from the sale of his goats is 75 * $40 = $3000. He also sold 2 / 3 * 210 = 140 of the total sheep on his farm. The income from the sale of the sheep is 140 * $30 = $4200. From the sale of goats and sheep, Mr. Mathews made $4200 + $3000 = $8600. The answer is 7200.
Question: Tommy is looking at his change collection. He has 10 more dimes than pennies. He has twice as many nickels as dimes. He has 4 quarters. He has 10 times as many pennies as quarters. How many nickels does he have?
Answer: Tommy has 40 pennies because 10 x 4 = 40. Tommy has 50 dimes because 40 + 10 = 50. Tommy has 100 nickels because 50 x 2 = 100. The answer is 100.
[Question]Peter has a plan to take his family on a vacation to Germany. He needs $5,000 to cover all the spending for the travel, and he has $2,900 in savings right now. If he can save up $700 each month, how many months does he need to wait to reach his goal?
[Answer]Peter needs $5,000 $2,900 = $2,100 in total. He will have to wait for $2100 $700 / month = 3 months to reach his goal. The answer is 3.
Q: Jay bought a book for $25, a pen for $4, and a ruler for $1. He paid with a fifty-dollar bill. How much change, in dollars, did Jay get?
A: Jay spent 25 + 4 + 1 = 30 dollars. He received 50 - 30 = 20 dollars in change. The answer is 20.
Question: On the island of Castor, there are 40 chess players. A quarter of the island's chess players have never lost to an AI. How many people on the island have lost to a computer, at least once?
Answer: Chess players that have never lost to an AI is 40 / 4 = 10 people. Chess players that have lost to an AI is 40 - 10 = 30 people. The answer is 30.
Q: The government donated tons of sand to four Cities. City A received 16 1/2 tons of sand, City B received 26 tons of sand, and City C received 24 1/2 tons of sand. The supplier lost the data for City D; however, they know the total for all four cities was 95 tons. How many tons of sand did City D receive?
A:
The total tons of sand donated to City A and City C is 16 1 / 2 + 24 1 / 2 = 41. The total tons of sand donated to City A, City B, and City C is 41 + 26 = 67. Therefore, City D received 95 - 67 = 28 tons of sand. The answer is 28.