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
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.
To solve this problem, we need to use the concept of proportional relationships.
First, let's understand the given information. The recipe calls for 3 cups of soaked chickpeas for every 1.5 cups of water. We can set up a ratio using these values:
3 cups of soaked chickpeas : 1.5 cups of water
Since the recipe makes 4 servings, we can assume that this ratio applies to 4 servings.
Now, we want to find out how many cups of soaked chickpeas are required for 15 servings. To do this, we need to establish a proportion.
We can set up the proportion as follows:
3 cups of soaked chickpeas / 1.5 cups of water = x cups of soaked chickpeas / 15 servings
To solve for x (the number of cups of soaked chickpeas required for 15 servings), we can use cross multiplication:
(3 cups of soaked chickpeas) * (15 servings) = (1.5 cups of water) * (x cups of soaked chickpeas)
45 cups of soaked chickpeas = 1.5x
To isolate x, we divide both sides of the equation by 1.5:
45 cups of soaked chickpeas / 1.5 = x
x = 30 cups
Therefore, the correct answer is 30 cups of soaked chickpeas.
To solve this problem, we can set up a proportion based on the given information.
The recipe calls for 3 cups of soaked chickpeas for every 1.5 cups of water. This means that the ratio of soaked chickpeas to water is 3:1.5.
Since the recipe makes 4 servings, we can set up the proportion:
3 cups of soaked chickpeas / 1.5 cups of water = x cups of soaked chickpeas / y cups of water
To find the number of cups of soaked chickpeas required for 15 servings, we need to find the value of x when y = 15 * 1.5.
3/1.5 = x / (15 * 1.5)
Simplifying the equation, we get:
2 = x / 22.5
Multiplying both sides by 22.5, we get:
x = 2 * 22.5 = 45
Therefore, Indira needs 45 cups of soaked chickpeas to make 15 servings of chana masala.