Hassem and his family cut an apple pie into 6 equal slices and a blueberry pie into 12 equal slices. They ate 5/6

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

12 slices
12 slices

10 slices
10 slices

5 slices

Answer 1

To find out how many slices of the blueberry pie Hassem and his family ate, we first need to establish how many slices they consumed based on the fraction eaten from the apple pie.

They ate \( \frac{5}{6} \) of the apple pie, which has 6 equal slices.

Calculating the number of slices of the apple pie eaten: \[ \text{Slices of apple pie eaten} = \frac{5}{6} \times 6 = 5 \text{ slices} \]

Now, since they ate the same fraction (\(\frac{5}{6}\)) of the blueberry pie, we apply this fraction to the blueberry pie, which has 12 equal slices:

Calculating the number of slices of blueberry pie eaten: \[ \text{Slices of blueberry pie eaten} = \frac{5}{6} \times 12 = 10 \text{ slices} \]

So, Hassem and his family ate 10 slices of the blueberry pie.

The correct response is: 10 slices