Question

1. anna is making peanut butter cookies for the third - grade music program. there are 144 total students in the third grade. she wants to make 12 dozen cookies so each student can get a cookie. the recipe below yields 2 dozen cookies. how much of each ingredient will she need if she makes 12 dozen cookies?

3 - ingredient peanut butter cookies (yields 24 cookies)

ingredient	measurement
white sugar	1 cup
eggs	1

options:

• $\frac{1}{12}$ cup peanut butter, $\frac{1}{2}$ cup white sugar, and 1 egg
• 6 cups peanut butter, 6 cups white sugar, and 6 eggs
• 12 cups peanut butter, 12 cups white sugar, and 12 eggs
• 144 cups peanut butter, 144 cups white sugar, and 144 eggs

Explanation:

Step1: Find the scaling factor

The recipe yields 2 dozen cookies, and Anna wants to make 12 dozen. The scaling factor is $\frac{12}{2} = 6$.

Step2: Scale each ingredient

• Peanut Butter: 1 cup * 6 = 6 cups
• White Sugar: 1 cup * 6 = 6 cups
• Eggs: 1 * 6 = 6 eggs

Answer:

B. 6 cups peanut butter, 6 cups white sugar, and 6 eggs