Apply the concept of proportional relationships to solve the following problem:

Question

Indira is cooking a large portion of chana masala for a family dinner. The recipe calls for 3 cups of soaked chickpeas for every 1.5 cups of water. This recipe makes 4 servings. If Indira plans to make 15 servings, how many cups of soaked chickpeas are required?

(1 point)
Responses

30 cups
30 cups

7.5 cups
7.5 cups

11.25 cups
11.25 cups

5.625 cups .

Answer 1

To solve this problem, we start by determining the ratio of soaked chickpeas to servings based on the original recipe.

The recipe requires:

• 3 cups of soaked chickpeas for 4 servings.

First, we find out how many cups of soaked chickpeas are needed for 1 serving:

$$\frac{3\text{ cups}}{4\text{ servings}}=0.75\text{ cups per serving}$$

Now, since Indira wants to make 15 servings, we multiply the amount needed for one serving by 15:

$$0.75\text{ cups/serving}\times 15\text{ servings}=11.25\text{ cups}$$

Thus, the amount of soaked chickpeas required for 15 servings is 11.25 cups.

Correct response: 11.25 cups.