Question

A recipe calls for 2/3
of a cup of milk for 11 cookies. How many cups of milk are needed to make 165 cookies?
A.
110
B.
11
C.
10
D.
22

Answer 1

To solve how many cups of milk are needed to make 165 cookies when the recipe calls for \( \frac{2}{3} \) cup of milk for 11 cookies, we can first find the amount of milk needed per cookie.

1. **Find milk per cookie**:
\[
\text{Milk per cookie} = \frac{2/3 \text{ cup}}{11} = \frac{2}{3 \times 11} = \frac{2}{33} \text{ cups per cookie}
\]

2. **Calculate the milk needed for 165 cookies**:
\[
\text{Milk for 165 cookies} = \frac{2}{33} \times 165
\]

To simplify \( \frac{2}{33} \times 165 \):
\[
165 \div 33 = 5
\]
Therefore:
\[
\frac{2}{33} \times 165 = 2 \times 5 = 10 \text{ cups}
\]

So, the amount of milk needed for 165 cookies is **10 cups**.

The answer is C. 10.