Question

Maria is using a double number line to determine the amount of flour she will need to make a batch of sugar cookies. If she wants to make a batch of 48 cookies, how much flour will she need? On the double number line, the "Number of cookies" is labeled as 12, and the "Cups of flour" is labeled as 22.

Which of the following choices correctly represents the amount of flour Maria will need to make a batch of 48 cookies, based on the double number line?

a. 5 cups
b. 72 cups
c. 10 cups
d. 122 cups

Answer 1

Maria will need 8 cups of flour to make 48 cookies, as the given ratio is 12 cookies to 2 cups of flour.

Step-by-step explanation:

To find out how much flour Maria will need to make a batch of 48 cookies, we first need to understand the ratio given by the double number line. We know that 12 cookies require 2 cups of flour. To make 48 cookies, which is four times more than 12, we would need four times the amount of flour.

Here's the calculation step-by-step:

1. Determine the number of times the original amount of cookies (12) fits into the desired amount (48). This is 48 ÷ 12 = 4.
2. Since we are making four times the original number of cookies, we need four times the amount of flour. So, 2 cups of flour × 4 = 8 cups of flour.

Therefore, the correct amount of flour needed for 48 cookies is 8 cups.