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?
Answers
GPT-4o mini
To determine how much flour Maria will need for a batch of 48 cookies using a double number line, we first need to know the amount of flour required for a known quantity of cookies.
Assuming we know that a certain amount of flour is needed for a specific number of cookies (for example, 2 cups of flour for 24 cookies), we can set up the proportion.
Let's say:
- 2 cups of flour are needed for 24 cookies.
To find out how much flour is needed for 48 cookies, we can use a ratio:
1. **Set up the ratio**:
\[
\frac{2 \text{ cups}}{24 \text{ cookies}} = \frac{x \text{ cups}}{48 \text{ cookies}}
\]
2. **Cross-multiply**:
\[
2 \times 48 = 24 \times x
\]
\[
96 = 24x
\]
3. **Solve for x**:
\[
x = \frac{96}{24} = 4
\]
Therefore, Maria will need **4 cups** of flour to make a batch of 48 cookies.
Assuming we know that a certain amount of flour is needed for a specific number of cookies (for example, 2 cups of flour for 24 cookies), we can set up the proportion.
Let's say:
- 2 cups of flour are needed for 24 cookies.
To find out how much flour is needed for 48 cookies, we can use a ratio:
1. **Set up the ratio**:
\[
\frac{2 \text{ cups}}{24 \text{ cookies}} = \frac{x \text{ cups}}{48 \text{ cookies}}
\]
2. **Cross-multiply**:
\[
2 \times 48 = 24 \times x
\]
\[
96 = 24x
\]
3. **Solve for x**:
\[
x = \frac{96}{24} = 4
\]
Therefore, Maria will need **4 cups** of flour to make a batch of 48 cookies.