Final answer:
The amount of water needed for 7 cups of flour in the recipe, based on the given ratio of 1/3 cup water to 4 cups flour, is 7/12 cup of water.
Step-by-step explanation:
To solve how much water you need for 7 cups of flour using this recipe, set up a ratio based on the given amounts: 4 cups of flour per 1/3 cup of water. The question asks for the amount of water needed when using 7 cups of flour.
First, find the ratio of water to flour from the original recipe: 1/3 cup water / 4 cups flour. To find the amount of water needed for 7 cups of flour, use a proportion that corresponds to the original ratio:
(1/3 cup water) / (4 cups flour) = (x cups water) / (7 cups flour)
Now, solve for x:
- (1/3) / 4 = x / 7
- x = (7 * (1/3)) / 4
- x = (7/3) / 4
- x = 7/12
When you simplify this, you get 7/12 cup of water needed for the recipe when using 7 cups of flour.