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A pancake recipe asks for three and two thirds times as much milk as flour. If two and three quarters cups of milk is used, what quantity of flour would then be needed, according to the recipe?

Question

A pancake recipe asks for three and two thirds times as much milk as flour. If two and three quarters cups of milk is used, what quantity of flour would then be needed, according to the recipe?

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Solution 1

To solve this problem, we need to set up a proportion. The recipe calls for 3 2/3 times as much milk as flour. This can be written as 11/3 (since 3 2/3 = 11/3) when converted to an improper fraction.

The problem states that 2 3/4 cups of milk is used. This can be written as 11/4 (since 2 3/4 = 11/4) when converted to an improper fraction.

We can set up the proportion as follows:

(11/3) / 1 = (11/4) / x

Where x is the amount of flour needed.

To solve for x, we cross multiply:

11/3 * x = 11/4

Then, divide both sides by 11/3 (which is the same as multiplying by 3/11):

x = (11/4) * (3/11)

The 11's cancel out, leaving:

x = 3/4

So, according to the recipe, you would need 3/4 cup of flour.

This problem has been solved

Solution 2

To solve this problem, we first need to convert the fractions into decimals for easier calculation.

Three and two thirds is approximately 3.67 and two and three quarters is approximately 2.75.

The recipe asks for 3.67 times as much milk as flour. So, if 2.75 cups of milk is used, we can find out the quantity of flour by dividing the amount of milk by 3.67.

So, 2.75 ÷ 3.67 = approximately 0.75 cups of flour would be needed according to the recipe.

This problem has been solved

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