Final answer:
To bake his favorite cake, Farrell must use 1/2 cup of water for each cup of flour. If he uses 3 1/2 cups of flour, he needs to determine how much water to use. We can set up a proportion to solve this problem and find that Farrell needs to use 1 3/4 cups of water.
Step-by-step explanation:
To bake his favorite cake, Farrell must use 1/2 cup of water for each cup of flour. If he uses 3 1/2 cups of flour, he needs to determine how much water to use. We can set up a proportion to solve this problem:
1 cup of flour / 1/2 cup of water = 3 1/2 cups of flour / x cups of water
To solve for x, we can cross-multiply:
1 * x = (1/2) * (3 1/2)
x = (1/2) * (7/2)
x = 7/4
Therefore, Farrell needs to use 7/4 cups of water, which is equivalent to 1 3/4 cups of water.