[Question]Billy buys a 12 pack of soda from the store. If he has twice as many brothers as sisters, and he has 2 sisters, how many sodas can he give to each of his siblings if he wants to give out the entire 12 pack while giving each the same number?
[Answer]First, we need to determine how many siblings Billy has. To do this, we perform 2 * 2 = 4 brothers, as he has 2 sisters and twice as many brothers as sisters. Then we divide the total number of sodas in the 12 pack, which is 12, by the number of siblings, performing 12 / 6 = 2 cans per person. The answer is 2.
Q: A frog lays 800 eggs a year. 10 percent dry up, and 70 percent are eaten. 1/4 of the remaining eggs end up hatching, how many frogs hatch out of the 800?
A: Dried up:800(.10) = 80 eggs. 800(.70) = 560 eggs. Total left:800 - 80 - 560 = 160 eggs. 160 / 4 = 40 eggs survive to hatch. The answer is 40.
Question: Jerry had 63 pieces of candy. He divided them up equally into 9 bags. 2 of the bags had chocolate hearts. 3 of the bags were chocolate kisses. The rest of the bags were not chocolate. How many pieces of candy were not chocolate?
Answer: Jerry had 63 pieces of candy / 9 bags = 7 pieces of candy per bag. There were chocolate hearts in 2 bags * 7 = 14 chocolate hearts. There were chocolate kisses in 3 bags * 7 = 21 chocolate kisses. There was a total of 21 + 14 chocolate candy = 35 chocolate. Jerry started with 63 pieces - 35 chocolate = 28 pieces of non - chocolate candy. The answer is 28.
[Question]Tamara is 3 times Kim's height less 4 inches. Tamara and Kim have a combined height of 92 inches. How many inches tall is Tamara?
[Answer]Let K = Kim's height. Tamara = 3K - 4. K + 3K - 4 = 92. 4K - 4 = 92. 4K = 96. Kim = 24 inches. Tamara = (3 * 24) - 4 = 68 inches. Tamara is 68 inches tall. The answer is 68.
Q: In his phone gallery, Malachi has the number of selfies he took last year and this year in the ratio of 10:17. If he has 2430 photos in his gallery, how many more photos did he take this year than last year?
A: The total ratio representing the number of photos in the Malachi gallery is 10 + 17 = 27. The difference in the ratios representing the number of photos Malachi took this year and last year is 17 - 10 = 7. This year, Malachi took 7 / 27 * 2430 = 630 more photos than he took last year. The answer is 630.
Question: If one fourth of the engines are defective, and there are 5 batches of 80 engines each. How many engines are not defective?
Answer:
There are 80 * 5 = 400 engines in total. 400 / 4 = 100 of the engines are defective. 400 - 100 = 300 of the engines are not defective. The answer is 300.