Question: Five coworkers were talking during the lunch break. Roger, the oldest one, said that he has the same amount of experience in years as all four of the others combined and that his retirement should come when he accumulates 50 years of experience. Peter said that when he came to the company his daughter was 7 years old, and now she is 19 years old. Tom then said he has twice as many years of experience as Robert. Robert said that he has 4 years of experience less than Peter but 2 more years of experience than Mike. How many more years does Roger have to work before he retires?
Answer: Peter has 19 – 7 = 12 years of experience. Robert has 12 – 4 = 8 years of experience. Mike has 8 – 2 = 6 years of experience. Tom has 2 * 8 = 16 years of experience. Roger has 12 + 8 + 6 + 16 = 42 years of experience. Roger has to work another 50 – 42 = 8 years before he retires. The answer is 8.
[Question]Nancy and Jason are learning to dance for the first time. Nancy steps on her partner's feet 3 times as often as Jason. If together they step on each other's feet 32 times, how many times does Jason step on his partner's feet?
[Answer]Let n be the number of times Nancy steps on her partner's feet and j be the number of times Jason does. We know that n = 3j and n + j = 32. Substituting the first equation into the second equation, we get 3j + j = 32. Combining like terms, we get 4j = 32. Dividing both sides by 4, we get j = 8. The answer is 8.
Q: A mother is serving pizza at her son's birthday party. After buying 5 pizzas, she must decide how many slices to divide each pizza into so that everyone at the party ends up with an equal number of slices. There are a total of 20 children at the party, and she can choose to divide each pizza into either 6, 8, or 10 slices. Assuming she does not want to throw away any pizza, how should many slices should she choose to divide the pizzas into to make sure everyone receives an equal amount?
A: Checking each possibility, we can see that dividing each pizza into 6 slices yields 5 * 6 = 30 total slices, dividing each pizza into 8 slices yields 5 * 8 = 40 total slices, and dividing each pizza into 10 slices yields 5 * 10 = 50 total slices. Because each child must receive the same number of slices, the total number of slices must be evenly divisible by 20. The only option that satisfies this requirement is dividing the pizza into 8 slices, as 40 / 20 = 2 slices per child. Therefore, the mother should divide each pizza into 8 slices. The answer is 8.
Question: Daisy is climbing trees all around her neighborhood and starts to notice the number of branches and the height. The first tree she climbs is 50 feet tall and has 200 branches. The second tree she climbs is 40 feet tall and has 180 branches. The third tree she climbs is 60 feet tall and has 180 branches. The final tree she climbs is 34 feet tall and has 153 branches. On average, how many branches do these trees have per foot?
Answer: The first tree has 4 branches per foot because 200 / 50 = 4. The second tree tree has 4.5 branches per foot because 180 / 40 = 4.5. The third tree has 3 branches per foot because 180 / 60 = 3. The fourth tree has 4.5 branches per foot because 153 / 34 = 4.5. The total branches per foot is 16 because 4 + 4.5 + 3 + 4.5 = 16. The average branches per foot is 4 because 16 / 4 = 4. The answer is 4.
[Question]Hannah wanted to make an apple pie that would serve 8 people. She needed 2 pounds of apples that were on sale for $2.00 per pound. The pre-made pie crust cost $2.00. The lemon cost $.50 and the butter cost $1.50. How much did each serving of pie cost?
[Answer]2 pounds of apples at $2.00 / pound would cost 2 * 2 = $4.00. If we add all of the purchases together then the total bill was 4 + 2 + .50 + 1.50 = $8.00. There are 8 servings per pie. So $8.00 / 8 servings = $1.00 per serving. The answer is 1.
[Question]Based on a 2008 study, children 6–11 years old spend 45 minutes each day watching television. How many hours do these children watch television in 2 weeks if they are allowed to watch television 4 days a week?
[Answer]
The children watch a total of 45 x 4 = 180 minutes in a week. In hours, this is equal to 180 / 60 = 3 hours a week. Thus, these children watch 3 x 2 = 6 hours in two weeks. The answer is 6.