Question

A recipe uses 1 and 1 4th to make 10 servings. If the same amount of milk is used for each serving, how many servings can be made using 1 gallon of milk?

Answer 1

In 1 gallon of milk 128 servings can be made.

Explanation:

Given:

Number of cups of milk used for 10 servings =
`1(1)/(4)\ cups`

`1(1)/(4)\ cups` can be Rewritten as 1.25 cups.

So Number of cups of milk used for 10 servings = 1.25 cups

We need to find the number of serving made using 1 gallon of milk.

Solution:

First we will find number of cups of milk used in 1 serving.

Now we know that;

for 10 servings = 1.25 cups

so for 1 servings = number of cups of milk used in 1 serving.

By Using Unitary method we get;

number of cups of milk used in 1 serving =
`(1.25)/(10) =0.125\ cups`

Now we know that;

1 gallon = 16 cups.

hence we can find number of serving used with 16 cups and then we can conclude for 1 gallon unit.

Now we know that;

For 1 serving = 0.125 cups

Number of servings = 16 cups.

Again by using Unitary method we get;

Number of servings for 16 cups =
`(16)/(0.125) = 128\ servings.`

Hence, In 1 gallon of milk 128 servings can be made.