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zimovet [89]
3 years ago
6

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!​
Mathematics
1 answer:
Anestetic [448]3 years ago
3 0

Answer:

128 servings can be made using 1 gallon of milk.

Step-by-step explanation:

Given that:

1\frac{1}{4} cups of milk make 10 servings

1\frac{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

\frac{1.25x}{1.25}=\frac{160}{1.25}\\x=128

Hence,

128 servings can be made using 1 gallon of milk.

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