A recipe for cornbread calls for 2 cups of flour for every

Question

4
1
​
cup of water. Using the same recipe, how much water will you need for 9 cups of flour?
Start by setting up a table that could be used to find how many cups of water you will need for 9 cups of flour.
Cups of Flour Cups of Water

2

4
1
​


9

?
Excellent!
How many cups of water will you need for 9 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
4
1
​

9

Answer 1

To find out how many cups of water you need for 9 cups of flour, we can use the ratio established in the original recipe. The ratio of flour to water is 2 cups of flour for every 4.1 cups of water.

First, let’s express that ratio more clearly:

• For 2 cups of flour, you need 4.1 cups of water.

Now we can set up a proportion to solve for the amount of water needed when using 9 cups of flour:

\[ \frac{2 \text{ cups of flour}}{4.1 \text{ cups of water}} = \frac{9 \text{ cups of flour}}{x \text{ cups of water}} \]

Cross-multiplying gives us:

\[ 2x = 9 \times 4.1 \]

Calculating \(9 \times 4.1\):

\[ 9 \times 4.1 = 36.9 \]

So now we have:

\[ 2x = 36.9 \]

Dividing both sides by 2:

\[ x = \frac{36.9}{2} = 18.45 \]

Now we can fill in the table:

| Cups of Flour | Cups of Water | |---------------|---------------| | 2 | 4.1 | | 9 | 18.45 |

Therefore, you will need 18.45 cups of water for 9 cups of flour.