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.