A salsa recipe uses green pepper, onion, and tomato in the extended ratio 2:5:9. How many cups of onion are needed to make 96 cups of salsa?

Question

(1 point)
Responses

12
12

5
5

30
30

54

Answer 1

To find the amount of cups of onion needed to make 96 cups of salsa, we need to find the part of the extended ratio that corresponds to the onion.

In the extended ratio 2:5:9, the onion has a ratio of 5.

To find the amount of cups of onion needed, we can set up a proportion:

(5 cups of onion) / (2 cups of green pepper + 5 cups of onion + 9 cups of tomato) = (x cups of onion) / (96 cups)

Cross-multiplying, we get:

5 cups of onion * 96 cups = 2 cups of green pepper + 5 cups of onion + 9 cups of tomato * x cups of onion

480 = 2 + 9x

9x = 480 - 2

9x = 478

x = 478 / 9

x ≈ 53.11

Therefore, we would need approximately 53.11 cups of onion to make 96 cups of salsa.

Since we can't have a fraction of a cup, we round down to the nearest whole number.

Therefore, we need 53 cups of onion to make 96 cups of salsa.

So, the correct answer is 54.