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A pancake recipe requires one and two thirds cups of milk to one cup of flour. If two and one half cups of milk is used, what quantity of flour will be needed, according to the recipe?

Question

A pancake recipe requires one and two thirds cups of milk to one cup of flour. If two and one half cups of milk is used, what quantity of flour will be needed, according to the recipe?

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Solution

To solve this problem, we need to set up a proportion. The ratio of milk to flour in the recipe is 1 2/3 : 1.

First, convert the mixed number 1 2/3 to an improper fraction. 1 2/3 = 5/3.

So, the ratio of milk to flour is 5/3 : 1.

If 2 1/2 cups of milk is used, we need to find the corresponding amount of flour. Convert 2 1/2 to an improper fraction. 2 1/2 = 5/2.

Set up the proportion as follows:

5/3 : 1 = 5/2 : x

Cross multiply to solve for x:

5/3 * x = 5/2 * 1

Multiply both sides by 3 to isolate x:

5x = 15/2

Divide both sides by 5:

x = 15/10 = 1.5

So, 1.5 cups of flour will be needed if 2 1/2 cups of milk is used.

This problem has been solved

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1/3

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