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

8
8

6
6

4
4

2

Answer 1

To determine how many slices of the cherry pie they ate, we first need to find out the fraction of the peach pie they consumed.

Quinten and his friends ate \( 6 \) slices of the peach pie, which was cut into \( 12 \) slices. Therefore, the fraction of the peach pie they ate can be calculated as:

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

Next, since they ate the same fraction of the cherry pie, we need to apply the same fraction to the cherry pie, which is cut into \( 8 \) equal slices.

To find how many slices they ate from the cherry pie, we calculate:

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

Thus, they ate \( 4 \) slices of the cherry pie.

The answer is:

4