Question

1. leslie has a recipe that makes 3 dozen cupcakes. she needs 5 cups of flour. set up and solve a proportion to figure out how many cupcakes leslie can make with 25 cups of flour. show your work.

Explanation:

Step1: Define variables and proportion

Let \( x \) be the number of dozen cupcakes with 25 cups of flour. The proportion is \(\frac{3 \text{ dozen}}{5 \text{ cups}}=\frac{x \text{ dozen}}{25 \text{ cups}}\)

Step2: Cross - multiply to solve for \( x \)

Cross - multiplying gives \( 5x = 3\times25 \)
\( 5x=75 \)
Divide both sides by 5: \( x=\frac{75}{5}=15 \) dozen. To find the number of cupcakes, since 1 dozen = 12 cupcakes, \( 15\times12 = 180 \) cupcakes.

Answer:

Leslie can make 180 cupcakes with 25 cups of flour.