In a fruit cocktail, the ratio of orange juice to apple juice to coconut milk is 3:2:4, respectively. How much of each do I need to take if I have 5 more ounces of orange juice than apple juice?

a) 3 oz orange juice, 2 oz apple juice, 4 oz coconut milk
b) 4 oz orange juice, 1 oz apple juice, 3 oz coconut milk
c) 2 oz orange juice, 3 oz apple juice, 5 oz coconut milk
d) 5 oz orange juice, 4 oz apple juice, 1 oz coconut milk

To determine the amounts of orange juice, apple juice, and coconut milk needed in the fruit cocktail, we can use the given ratio and the fact that there are 5 more ounces of orange juice than apple juice. The correct answer is 5 ounces of orange juice, 4 ounces of apple juice, and 1 ounce of coconut milk.

Explanation:

To determine the amounts of orange juice, apple juice, and coconut milk needed in the fruit cocktail, we can use the given ratio and the fact that there are 5 more ounces of orange juice than apple juice.

Let's assign a variable to the amount of apple juice, let's call it 'x'.

Since the ratio of orange juice to apple juice is 3:2, the amount of orange juice is 3x, and since there are 5 more ounces of orange juice, the amount of orange juice is (3x + 5). Since the ratio of coconut milk to apple juice is 4:2 (or 2:1), the amount of coconut milk is 2x.

Therefore, the correct answer is option d) 5 ounces of orange juice, 4 ounces of apple juice, and 1 ounce of coconut milk.