Question

A recipe for cinnamon rolls calls for 3 cups of flour for every
3
1
​
cup of water. Using the same recipe, how much water will you need for 8 cups of flour?
Start by setting up a table that could be used to find how many cups of water you will need for 8 cups of flour.
Cups of Flour Cups of Water

3

3
1
​


8

?
You got it!
How many cups of water will you need for 8 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
3
3
1
​

8

Answer 1

To solve this problem, we start by recognizing the ratio of flour to water given in the recipe. The recipe states that for every 3 cups of flour, you need 3.5 cups of water (3 1/2 cups equals 3.5 cups).

To determine how much water is needed for 8 cups of flour, we can first find the ratio of water to flour based on the original amounts.

Here’s the setup in the table format:

| Cups of Flour | Cups of Water |
|---------------|---------------|
| 3 | 3.5 |
| 8 | ? |

Next, we can set up a proportion based on the established ratio:

\[
\frac{Cups\ of\ Water}{Cups\ of\ Flour} = \frac{3.5}{3}
\]

Substituting the known values, we set it up like this:

\[
\frac{x}{8} = \frac{3.5}{3}
\]

Now, we can solve for \(x\) (the cups of water needed for 8 cups of flour):

1. Cross-multiply:
\[
x \cdot 3 = 3.5 \cdot 8
\]
\[
3x = 28
\]

2. Divide both sides by 3:
\[
x = \frac{28}{3}
\]

Calculating this gives:
\[
x \approx 9.33
\]

So, for 8 cups of flour, you will need approximately \(9.33\) cups of water, or \(9 \frac{1}{3}\) cups if you want to express it as a mixed number.

Now, we can fill in the table:

| Cups of Flour | Cups of Water |
|---------------|---------------|
| 3 | 3.5 |
| 8 | 9.33 |

**Final Answer: You will need approximately 9.33 cups of water for 8 cups of flour.**