Answer:
To determine the amount of oil needed per cup of water, we need to find the ratio between the oil and water quantities given in the recipe.
According to the recipe:
1/4 cup of oil is required for every 2/3 cup of water.
To find the amount of oil needed per cup of water, we can set up a proportion:
1/4 cup of oil / 2/3 cup of water = x cups of oil / 1 cup of water
To solve for x, we can cross-multiply and then divide:
(1/4) * (1 cup of water) = (2/3) * (x cups of oil)
1/4 = (2/3) * (x cups of oil)
To isolate x, we can multiply both sides of the equation by the reciprocal of (2/3), which is (3/2):
(1/4) * (3/2) = (2/3) * (x cups of oil) * (3/2)
3/8 = (2/3) * (x cups of oil) * (3/2)
Now, let's simplify the equation:
3/8 = x/1
x = 3/8
Therefore, per cup of water, you would need approximately 3/8 cups of oil.
Explanation: