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?

Question

jpg
A
5 cups
B
7127\frac{1}{2}7
2
1
​
cups
C
10 cups
D
121212\frac{1}{2}12
2
1
​
cups

Answer 1

To determine how much flour Maria will need to make a batch of 48 cookies using a double number line, we would typically need the information that the number line provides, such as how much flour is needed for a certain number of cookies.

Assuming the double number line shows the relationship (for example, if it indicates that 24 cookies require 5 cups of flour), we can set up a proportion to find out how much flour is needed for 48 cookies.

Let’s say the relationship from the number line is:

• 24 cookies require 5 cups of flour.

From that, we can set up a proportion:

\[ \frac{5 \text{ cups}}{24 \text{ cookies}} = \frac{x \text{ cups}}{48 \text{ cookies}} \]

Cross-multiplying gives us:

\[ 5 \times 48 = 24 \times x \]

\[ 240 = 24x \]

Dividing both sides by 24:

\[ x = \frac{240}{24} = 10 \]

So, Maria will need 10 cups of flour to make a batch of 48 cookies.

Therefore, the answer is C) 10 cups.