Question

1. A recipe uses 1¼ cups of milk to make 10 servings of pudding. If the same amount of milk is used for each serving, how many servings can be made using gallon of milk?

Answer 1

The number of servings which can be made by using gallon of milk are 128.

Explanation:

Given:

A recipe uses 1¼ cups of milk to make 10 servings of pudding.

Now, to find the servings which can be made by using gallon of milk.

Let the number of servings which can be made by using gallon of milk be
`x`.

So, we will convert the quantity from fraction into decimal first:

1¼ cups =
`(5)/(4) cups = 1.25 cups.`

Thus, 10 servings need 1.25 cups.

Then, by using proportion we get the quantity of servings:

`10\ servings:1.25\ cups = x\ servings : 1\ gallon`

(1 Gallon = 16 cups.)

⇒
`(10)/(1.25) =(x)/(16)`

Multiplying both sides by 16 we get:

⇒
`(160)/(1.25) =x`

⇒
`128=x`

⇒
`x=128.`

Therefore, the number of servings which can be made by using gallon of milk are 128.