Question

Lucy wants to make different types of cheesecake. Each cheesecake uses 2/3 pound of cream cheese. She has 2 pounds of cream cheese. How many cheesecake can she make?

Answer 1

To determine how many cheesecakes Lucy can make with 2 pounds of cream cheese, we need to divide the total amount of cream cheese she has by the amount needed for each cheesecake.

Each cheesecake requires \( \frac{2}{3} \) pound of cream cheese.

First, we convert 2 pounds into a fraction that can be easily divided:
\[
2 \text{ pounds} = \frac{2}{1} \text{ pounds}
\]

Now, we perform the division:
\[
\text{Number of cheesecakes} = \frac{\text{Total cream cheese}}{\text{Cream cheese per cheesecake}} = \frac{2}{\frac{2}{3}}
\]

To divide by a fraction, we multiply by its reciprocal:
\[
= 2 \times \frac{3}{2}
\]

Calculating that gives:
\[
= \frac{2 \times 3}{2} = \frac{6}{2} = 3
\]

Thus, Lucy can make **3 cheesecakes** with 2 pounds of cream cheese.