Apply the concept of proportional relationships to solve each of the following prompts. Indira is cooking a large portion of China masala for a family dinner. The recipe calls for 3 cups of soaked chickpeas for every 1.5 cups of water. The recipe makes four servings if Indira makes two plans to make 15 servings, how many cups of soap chickpeas are required.
To solve this problem, we can set up a proportion using the given ratio:
3 cups soaked chickpeas / 1.5 cups water = x cups soaked chickpeas / 15 servings
Cross multiplying, we get:
3 cups soaked chickpeas * 15 servings = 1.5 cups water * x cups soaked chickpeas
45 cups soaked chickpeas = 1.5x
To solve for x, we divide both sides of the equation by 1.5:
45 cups soaked chickpeas / 1.5 = 1.5x / 1.5
30 cups soaked chickpeas = x
So, Indira will need 30 cups of soaked chickpeas to make 15 servings.