Quinten and his friends cut a peach pie into 10 equal slices and a cherry pie into 15 equal slices. They ate 6/10

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

10
10

9
9

12
12

6

Answer 1

If Quinten and his friends ate \( \frac{6}{10} \) of the peach pie, we first convert that fraction into slices. The peach pie has 10 slices:

\[ \frac{6}{10} \times 10 = 6 \text{ slices} \]

Now, they ate the same fraction of the cherry pie, which is also \( \frac{6}{10} \). The cherry pie has 15 slices:

\[ \frac{6}{10} \times 15 = \frac{6 \times 15}{10} = \frac{90}{10} = 9 \text{ slices} \]

So, they ate 9 slices of the cherry pie.

The correct answer is 9.