Hassem and his family cut an apple pie into 6 equal slices and a blueberry pie into 12 equal slices. They ate 56

Question

of the apple pie. If they ate the same fraction of the blueberry pie, how many slices of the blueberry pie did they eat?



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(1 point)
Responses

9 slices
9 slices

5 slices
5 slices

10 slices
10 slices

12 slices

Answer 1

To determine how many slices of the blueberry pie they ate, we first need to find the fraction of the apple pie that they consumed.

The apple pie was cut into 6 equal slices, and they ate 56 slices of it. This seems incorrect since they cannot eat more slices than are in the pie. If Hassem and his family ate all of the slices from the apple pie, then that means they consumed the entire apple pie.

Next, if they ate the entire apple pie (6 out of 6 slices), we assume they also ate the same fraction of the blueberry pie: \[ \text{Fraction of apple pie eaten} = \frac{6}{6} = 1 \] Now we apply this fraction to the blueberry pie, which has 12 slices: \[ \text{Slices of blueberry pie eaten} = 1 \times 12 = 12 \text{ slices} \]

So, the correct answer is 12 slices.

Answer 2

wrong

Answer 3

I apologize for any confusion. Let's break down the problem again.

Hassem and his family cut an apple pie into 6 equal slices and a blueberry pie into 12 equal slices. It states that they ate 56 of the apple pie, which seems like an error since there are not 56 slices in a pie cut into 6 equal slices. I will assume you meant they ate 5 of the 6 slices of the apple pie.

If they ate 5 slices out of 6 of the apple pie, we can calculate the fraction they consumed: \[ \text{Fraction of apple pie eaten} = \frac{5}{6} \]

Now, we need to find the equivalent amount of blueberry pie slices eaten by using the same fraction: \[ \text{Slices of blueberry pie eaten} = \frac{5}{6} \times 12 = 10 \]

So, if they ate 5 slices of the apple pie, they would eat 10 slices of the blueberry pie.

If 56 was indeed a part of your original message, could you clarify that part? Thank you!