[Question]The ratio of boys to girls in a math class is 5:8. How many girls are in the class if the total number of students in the class is 260?
[Answer]If the ratio of boys to girls in the math class is 5:8, the total ratio of the number of boys and girls in the math class is 5 + 8 = 13. The fraction that represents the number of boys in the class is 5 / 13, and since there are 260 students in the class, the number of boys in the class is 5 / 13 * 260 = 100. The number of girls in the class is 260 - 100 = 160. The answer is 160.
Q: Farmer Randy has 1700 acres of cotton he needs to have planted in 5 days. With a crew of 2 tractors working for 2 days and then a crew of 7 tractors working for another 3 days, how many acres of cotton per day does each tractor need to plant to meet their planting deadline?
A: With 2 tractor teams working for 2 days, this is like 2 * 2 = 4 days worth of work by a single tractor, which they call tractor days. With 5 tractor teams working for 4 days, this is 7 * 3 = 21 tractor days. In total, the effort of all the tractor teams is 4 + 21 = 25 tractor days. If they need to plant 1700 acres with their 25 tractor days, then each tractor team needs to plant 1700 / 25 = 68 acres of cotton per day. The answer is 68.
Question: Emma bought a loaf of bread that had a certain number of slices. Her little cousin Andy ate 3 slices from the bread at two different points in time, and then Emma decided she would make toast with the remaining slices. If she uses 2 slices of bread to make 1 piece of toast bread, how many slices were in the original loaf if she was able to make 10 pieces of toast bread and had 1 slice of bread left?
Answer: Little Andy ate 3 slices 2 times giving a total of 3 * 2 = 6 slices of bread. 1 piece of toast bread requires 2 slices of bread so 10 pieces need 10 * 2 = 20 slices of bread. There is 1 slice of bread left so in total there were 6 + 20 + 1 = 27 slices of bread in the loaf. The answer is 27.
[Question]Tim has 22 cans of soda. Jeff comes by, and takes 6 cans of soda from Tim. Tim then goes and buys another half the amount of soda cans he had left. How many cans of soda does Tim have in the end?
[Answer]After Jeff comes by, Tim has 22 - 6 = 16 cans left. Tim buys 16 / 2 = 8 more cans. Tim has 16 + 8 = 24 cans in the end. The answer is 24.
Q: It takes Emmalyn and her research team, the Polar Bears, 30 minutes to fully navigate around a volcanic island. On Saturday, they decided to start off by rounding the island once. They then re-grouped and planned out the rest of their weekend research schedule. They completed 10 more round that day and then went home. When they came on Sunday, they were able to complete 15 rounds. Calculate the total time, in minutes, the Polar Bears spent circling the island over that weekend.
A: On the first day, they started off doing one round of 30 minutes. The team did ten more rounds on day one which took 10 * 30 = 300 minutes. The total time they took circumnavigating the land on the first day is 300 + 30 = 330 minutes. On the second day, they did 15 rounds, which took 30 minutes each, giving 15 * 30 = 450 minutes. The total number of rounds took 330 + 450 = 780 minutes. The answer is 780.
Question: Celina enjoys hiking in the mountains. Due to a lack of proper equipment, she decided to order a new pair of boots, a flashlight, and a special hoodie. The hoodie cost $80 and the flashlight was only 20% of that price. The pair of boots cost was $110, but due to a special promotion, Celina was able to buy them 10% cheaper. How much did Celina spend in total on the above-mentioned equipment?
Answer:
The flashlight was 20% of the price of the hoodie, so 80 * 20 / 100 = $16. The promotion for a pair of boots was 110 * 10 / 100 = $11. So the pair of boots cost 110 - 11 = $99. Celina therefore spent 80 + 16 + 99 = $195 on the equipment. The answer is 195.