[Question]Nikola is saving up for a bag of ant food before he can start his ant farm. He wants 400 ants in his farm. Each ant needs 2 ounces of food. Every ounce of ant food costs $.1. Nikola is saving up by raking leaves. He charges $5 to start a job and then he charges by the leaf. Each leaf he rakes costs 1 penny. He finally saved up enough money after he raked 6,000 leaves. How many jobs did he complete?
[Answer]The ants will need 800 ounces of food because 400 x 2 = 800. The ant food will cost $80 because 800 x .1 = 80. He has earned $60 from the leaves he has raked because 6000 leaves * $0.01 / leaf = $60. He earned $20 from all his jobs because 80 - 60 = 20. He completed 4 jobs because 20 / 5 = 4. The answer is 4.
Q: Parker and Richie split a sum of money in the ratio 2:3. If Parker got $50 (which is the smaller share), how much did they share?
A: If Parker got $50 with a ratio of 2, then the unit share is $50 / 2 = $25. Using the sharing ratio, Richie gets 3 unit shares which total to 3 * $25 = $75. The money they shared was $50 + $75 = $125. The answer is 125.
Question: Bea's mom planted 50 Mahogany and 30 Narra trees on their farm. Due to a typhoon, a total of 5 trees fell. One more Mahogany tree fell than the number of Narra trees that fell. A month after the typhoon, Bea's mom planted twice as much as the number of the Narra and thrice the number of Mahogany trees that fell. How many trees are now on the farm?
Answer: Before the typhoon, their farm had a total of 50 trees + 30 trees = 80 trees. If there was 1 more than Mahogany than Narra tree that fell, then this means there were 2 Narra trees and 2 + 1 = 3 Mahogany trees that fell during the typhoon. So, Bea's mom planted 2 trees x 2 = 4 Narra trees. She also planted 3 trees x 3 = 9 Mahogany trees. So, her mom planted 4 trees + 9 trees = 13 more trees. After the typhoon, they only had 80 trees - 5 trees = 75 trees left. Therefore, there are 75 trees + 13 trees = 88 trees now. The answer is 88.
[Question]Amy is building 2 3 ft long by 3 ft wide garden beds and 2 4ft long by 3 ft wide garden beds. What is the total sq ft of growing space that she will have?
[Answer]The first bed is 3 feet long by 3 feet wide so it's 3 * 3 = 9 sq ft. She's building 2 beds that are this size so that's 2 * 9 = 18 sq ft of growing space. The second bed is 4 feet long by 3 feet wide so it's 4 * 3 = 12 sq ft. She's building 2 beds that are this size so that's 2 * 12 = 24 sq ft of growing space. The smaller beds are 18 sq ft and the larger beds are 24 sq ft for a total of 18 + 24 = 42 sq ft of growing space. The answer is 42.
Q: Steve writes a letter every 3rd day to his friend. He spends 20 minutes writing the letters. It takes 10 minutes to write 1 page. He also writes a long letter at the end of the month which he puts more thought into. It takes twice as long per page but he spends 80 minutes writing. How many pages does he write a month?
A: He writes 30 / 3 = 10 normal letters. Each letter is 20 / 10 = 2 pages. So that is 2 * 10 = 20 pages. His long letter takes 2 * 10 = 20 minutes per page. So it is 80 / 20 = 4 pages. So he writes 20 + 4 = 24 pages. The answer is 24.
Question: John repairs 5 cars. 3 of the cars take 40 minutes each to repair. The remaining ones take 50% longer each to repair. He makes $20 per hour repairing cars. How much money does he make?
Answer:
The 3 cars take 3 * 40 = 120 minutes to make. He repairs 5 - 3 = 2 more cars. They each take 40 * .5 = 20 minutes longer per car. So they each take 40 + 20 = 60 minutes. So he repaired cars for 120 + 2 * 60 = 240 minutes. That is 240 / 60 = 4 hours. So he made 4 * 20 = $80. The answer is 80.