Question

a recipe uses 1 1/4 cups of milk 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? take 1 gallon to be equal to 16 cups. please show the work!​

Answer 1

128 servings can be made using 1 gallon of milk.

Explanation:

Given that:

`1(1)/(4)` cups of milk make 10 servings

`1(1)/(4)` can also be written as 1.25

Ratio of cups of milk to servings = 1.25 : 10

1 gallon = 16 cups

Let,

x be the number of servings made from 1 gallon

Ratio of cups of milk to servings = 16 : x

This is a direct proportion

1.25 : 10 :: 16 : x

Product of mean = Product of extreme

10*16 = 1.25x

160 = 1.25x

1.25x=160

Dividing both sides by 1.25

`(1.25x)/(1.25)=(160)/(1.25)\\x=128`

Hence,

128 servings can be made using 1 gallon of milk.