The ratio of boys to girls at the dance was 3:4. There were 60 girls at the dance. The teachers were 20% of the number of boys. How many people were at the dance? Give the rationale and then the answer.
Let's think step by step. 60 girls represent 4 parts, so one part of students is 60 / 4 = 15 students. There are 15 * 3 = 45 boys at the dance. The teachers at the dance are 45 * 0,2 = 9 teachers at the dance. There are 60 + 45 + 9 = 114 people at the dance.. The answer is: 114.

Jamie's father gained 5 pounds over the holidays that he wants to lose so his pants will not be as snug. He asks Jamie to help him keep track of his calories. Jamie's father burns 2,500 calories of fat a day by doing light exercise. There are 3,500 calories in a pound of body fat. How many days will it take for Jamie's father to burn off 5 pounds if he does light exercise and sticks to eating 2000 calories a day? Give the rationale and then the answer.
Let's think step by step. First Jamie wants to figure out how many calories his father needs to lose from 5 pounds x 3500 calories each = 17,500 calories to burn off. Then Jamie needs to figure out how many calories his father will burn per day if he burns 2500 calories - eating 2000 calories = burning 500 calories a day. If Jamie's father wants to burn off 17,500 calories total at 500 calories a day, 17,500 / 500 = 35 days to burn off 5 pounds.. The answer is: 35.

There are 400 students in the senior class at East High School. 52% of the students play sports. Of the students that play sports, 12.5% play soccer. How many students play soccer? Give the rationale and then the answer.

Show your work and conclude with the exact phrasing "Therefore, the final answer is [answer]." where [answer] is just the final number or expression that solves the problem.
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Let's think step by step. The number of students that play sports is 400 * 0.52 = 208 students. The number of students that play soccer is 208 * .125 = 26 students.. The answer is: 26.