Question

Dan has a recipe for a soup dish that yields 4 servings. It requires 4 cups of vegetable broth. How many cups of vegetable broth does he need to make the soup serve 10 people?

6 cups
4 cups
10 cups
8 cups

Answer 1

To find out how many cups of vegetable broth Dan needs for 10 servings, we can use the ratio of servings to ingredients in the original recipe.

The original recipe yields 4 servings and requires 4 cups of vegetable broth.

First, we determine how many cups of broth are needed per serving:
\[
\text{Broth per serving} = \frac{4 \text{ cups}}{4 \text{ servings}} = 1 \text{ cup per serving}
\]

Next, to find out how much broth is needed for 10 servings, we multiply the amount of broth needed for one serving by the number of servings (10):
\[
\text{Broth for 10 servings} = 10 \text{ servings} \times 1 \text{ cup per serving} = 10 \text{ cups}
\]

Therefore, Dan needs **10 cups** of vegetable broth to make the soup serve 10 people.

The answer is:
**10 cups**