Brianne is making apple pies. She has 2 1/2 pounds of apples. Brianne estimates she can make 3 pies with no apples left over. What assumption did Brianne use to make this estimate?

Question

A.
Each pie will need 5/6 pounds of apples.
B.
Each pie will need 6/6 pounds of apples.
C.
Each pie will need 5 1/2 pounds of apples.
D.
Each pie will need 7 1/2 pounds of apples.

Answer 1

To find out what assumption Brianne used to estimate that she could make 3 pies with 2 1/2 pounds of apples, we can calculate how many pounds of apples would be needed per pie if she indeed can make 3 pies with the given amount.

First, we convert 2 1/2 pounds to an improper fraction: \[ 2 \frac{1}{2} = \frac{5}{2} \text{ pounds} \]

Next, we divide the total pounds of apples by the number of pies: \[ \frac{5}{2} \div 3 = \frac{5}{2} \times \frac{1}{3} = \frac{5}{6} \text{ pounds per pie} \]

Given this calculation, the assumption Brianne made to estimate the number of pies she can make is that each pie requires \( \frac{5}{6} \) pounds of apples.

Thus, the correct answer is: A. Each pie will need 5/6 pounds of apples.