Question

Joey wants to make enough fruit salad for 30 servings.

How should Joey adjust the recipe to find the total amounts of sugar, juice, and fruit needed for 30 servings? Explain your answer. What is the total amount of sugar, the total amount of juice, and the total amount of fruit needed for 30 servings? Show your work.

Answer 1

To adjust the recipe for 30 servings, Joey needs to use proportional reasoning. If the original recipe serves 6, and Joey wants to make 30 servings, he needs to multiply the amount of each ingredient by 5.

Let's say the original recipe calls for 1 cup of sugar, 2 cups of juice, and 4 cups of fruit. To find the total amount of each ingredient needed for 30 servings, we need to multiply each ingredient by 5:

1 cup of sugar x 5 = 5 cups of sugar

2 cups of juice x 5 = 10 cups of juice

4 cups of fruit x 5 = 20 cups of fruit

Therefore, Joey needs 5 cups of sugar, 10 cups of juice, and 20 cups of fruit to make fruit salad for 30 servings.

To verify the calculations, we can use the ratio of the ingredients to the total number of servings:

1 cup of sugar : 2 cups of juice : 4 cups of fruit

For 6 servings, the ratio is:

1 cup of sugar x 1 : 2 cups of juice x 1 : 4 cups of fruit x 1 = 1:2:4

For 30 servings, the ratio becomes:

1 cup of sugar x 5 : 2 cups of juice x 5 : 4 cups of fruit x 5 = 5:10:20

Thus, we can see that the ratio is still the same, indicating that the adjusted recipe is correct.

Explanation: