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.