To determine how many cups of water you need for 8 cups of flour using the same recipe, we can set up a proportion based on the recipe's original ratio of flour to water.
Given:
- 3 cups of flour require 3 1/2 (or 3.5) cups of water.
Set Up the Table:
| Cups of Flour | Cups of Water | |---------------|---------------| | 3 | 3.5 | | 8 | ? |
Proportion Method: You can create a proportion based on the amounts given:
\[ \frac{3 \text{ cups of flour}}{3.5 \text{ cups of water}} = \frac{8 \text{ cups of flour}}{x \text{ cups of water}} \]
Cross-multiply to solve for \( x \):
\[ 3 \cdot x = 3.5 \cdot 8 \]
Calculating the right side:
\[ 3.5 \cdot 8 = 28 \]
So we have:
\[ 3x = 28 \]
Now, divide both sides by 3:
\[ x = \frac{28}{3} \approx 9.33 \]
Final Table:
| Cups of Flour | Cups of Water | |---------------|---------------| | 3 | 3.5 | | 8 | 9.33 |
Thus, for 8 cups of flour, you will need approximately 9.33 cups of water.