Question

A recipe for cinnamon rolls calls for 2 cups of flour for every
3
1
​
cup of water. Using the same recipe, how much water will you need for 7 cups of flour?
Start by setting up a table that could be used to find how many cups of water you will need for 7 cups of flour.
Cups of Flour Cups of Water

2

3
1
​


7

?
You got it!
How many cups of water will you need for 7 cups of flour? Fill in that information in the table. Solve on paper. Then, enter your answer on Zearn.
Cups of Flour Cups of Water
2
3
1
​

7

Answer 1

To solve for how many cups of water you will need for 7 cups of flour based on the given ratio (2 cups of flour for every 3.5 cups of water), we can set up a proportion.

We know:

- 2 cups of flour corresponds to 3.5 cups of water.

We want to find out how much water (x) corresponds to 7 cups of flour.

We can set up the proportion as follows:

\[
\frac{2 \text{ cups of flour}}{3.5 \text{ cups of water}} = \frac{7 \text{ cups of flour}}{x \text{ cups of water}}
\]

Cross-multiply:

\[
2x = 3.5 \times 7
\]

Calculating the right side:

\[
3.5 \times 7 = 24.5
\]

So, we have:

\[
2x = 24.5
\]

Now, divide both sides by 2 to solve for x:

\[
x = \frac{24.5}{2} = 12.25
\]

Thus, for 7 cups of flour, you will need **12.25 cups of water**.

Now let's fill in the table:

| Cups of Flour | Cups of Water |
|---------------|---------------|
| 2 | 3.5 |
| 7 | **12.25** |

So, the answer for how many cups of water you will need for 7 cups of flour is **12.25 cups of water**.