Hi. I need help on this question.

A recipe for fruit salad includes 1/3 cup of grapes for 4 servings. How many cups of grapes are needed for 30 servings of this fruit salad?

F. 10 c
G. 40 c
H. 2 1/2 c
J. 7 1/2 c

impatient much, "I need helppppp!!" ??

This was just done for you

noo. Im another classmate of his. I dont know how to solve this.

To find out how many cups of grapes are needed for 30 servings of fruit salad, we can start by determining the ratio of servings to cups of grapes from the given recipe.

The recipe states that 1/3 cup of grapes is needed for 4 servings. Let's write this ratio in fraction form: (1/3) cup / 4 servings.

To find out how many cups of grapes are needed for 30 servings, we need to scale up the ratio.

We can set up a proportion to solve for the unknown number of cups of grapes:

(1/3) cup / 4 servings = x cups / 30 servings

To solve this proportion, we can use cross-multiplication:

1 cup * 30 servings = (1/3) cup * 4 servings

30 cups = 4/3 cup * x servings

To isolate x (the number of cups of grapes for 30 servings), we can multiply both sides of the equation by 3/4:

30 cups * 3/4 = 4/3 cup * x servings * 3/4

22.5 cups = x servings

Therefore, the answer is 22.5 cups of grapes for 30 servings.

However, since the answer choices are given in multiple choice format, we need to convert 22.5 cups to a fraction or a whole number. As none of the choices match exactly, we can round it to the nearest option.

Looking at the answer choices:

F. 10 cups
G. 40 cups
H. 2 1/2 cups
J. 7 1/2 cups

The closest option to 22.5 cups is 7 1/2 cups (J).