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. this recipe calls for 3 cups of soaked chickpeas for every 1.5 cups of water. this recipe makes 4 servings. if Indira plants to make 15 servings, how many cups of soaked chickpeas are required?
a. 7.5 cups
b. 11.25 cups
c. 30 cups
d. 5.625 cups

Answer 1

To find out how many cups of soaked chickpeas Indira needs for 15 servings, we first determine how many servings she can make with the ingredients provided in the original recipe.

The original recipe makes 4 servings using 3 cups of soaked chickpeas. We can set up a proportion to find out how many cups of soaked chickpeas are needed for 15 servings.

1. Calculate the ratio of servings: \[ \text{Ratio} = \frac{15 \text{ servings}}{4 \text{ servings}} = 3.75 \]

2. Now, multiply this ratio by the amount of soaked chickpeas in the original recipe to find the amount needed for 15 servings: \[ \text{Chickpeas needed} = 3 \text{ cups} \times 3.75 = 11.25 \text{ cups} \]

Thus, the amount of soaked chickpeas required for 15 servings is 11.25 cups, which corresponds to option b. 11.25 cups.