Quinten and his friends cut a peach pie into 12 equal slices and a cherry pie into 8 equal slices. They ate 612

Question

of the peach pie. If they ate the same fraction of the cherry pie, how many slices of the cherry pie did they eat?(1 point)
Responses

4
4

8
8

6
6

2

Answer 1

To determine how many slices of the cherry pie Quinten and his friends ate, we first need to find the fraction of the peach pie they consumed. They ate 6 out of 12 slices of the peach pie.

The fraction of the peach pie they ate is:

\[ \frac{6}{12} = \frac{1}{2} \]

Since they ate the same fraction of the cherry pie, we now calculate how many slices of cherry pie correspond to this fraction. The cherry pie has 8 slices, so half of the cherry pie is:

\[ \frac{1}{2} \times 8 = 4 \]

Therefore, they ate 4 slices of the cherry pie.

The answer is 4.