Answer:
128 servings can be made using 1 gallon of milk.
Step-by-step explanation:
Given that:
[tex]1\frac{1}{4}[/tex] cups of milk make 10 servings
[tex]1\frac{1}{4}[/tex] 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
[tex]\frac{1.25x}{1.25}=\frac{160}{1.25}\\x=128[/tex]
Hence,
128 servings can be made using 1 gallon of milk.
