Apply the concept of proportional relationships to solve the following problem:%0D%0A%0D%0AIndira 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?%0D%0A%0D%0A(1 point)%0D%0AResponses%0D%0A%0D%0A11.25 cups%0D%0A11.25 cups%0D%0A%0D%0A7.5 cups%0D%0A7.5 cups%0D%0A%0D%0A30 cups%0D%0A30 cups%0D%0A%0D%0A5.625 cups

1 answer

To solve this problem, we can set up a proportion using the ratio given in the recipe.

The ratio of soaked chickpeas to water is 3 cups: 1.5 cups.

To find how many cups of soaked chickpeas are required for 15 servings, we can set up the following proportion:

3 cups soaked chickpeas / 1.5 cups water = x cups soaked chickpeas / 15 servings

Cross multiplying, we get:

3 * 15 = 1.5 * x

45 = 1.5x

Dividing both sides by 1.5, we find:

x = 45 / 1.5

x = 30

Therefore, 30 cups of soaked chickpeas are required for 15 servings.

Therefore, the answer is 30 cups.