Quinten and his friends cut a peach pie into 10 equal slices and a cherry pie into 15 equal slices. They ate 610

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

9
9

10
10

12
12

6
6

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 ate.

The peach pie is cut into 10 equal slices and they ate 6 slices of it. Therefore, the fraction of the peach pie they ate is:

\[ \frac{6}{10} = \frac{3}{5} \]

Now, since they ate the same fraction of the cherry pie, let's calculate how many slices that fraction corresponds to in the cherry pie.

The cherry pie is cut into 15 equal slices. To find how many slices correspond to the fraction \(\frac{3}{5}\) of the cherry pie, we calculate:

\[ \frac{3}{5} \times 15 = 9 \]

So, Quinten and his friends ate 9 slices of the cherry pie.

The answer is 9.