Middle School

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A recipe uses [tex]\frac{1}{5}[/tex] cup of sugar for every 2 tablespoons of flour. How many tablespoons of flour are used with 1 cup of sugar?

Answer :

Answer:

10

Step-by-step explanation:

1/5 goes into 1, 5 times so multiply 5 by 2 (the table spoons of flour) and boom your answer

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Rewritten by : Barada

You would use 10 tablespoons of flour.

To solve the recipe conversion problem mathematically, we need to establish a ratio between cups of sugar and tablespoons of flour, and then use this ratio to find out how many tablespoons of flour are needed for 1 cup of sugar. The given recipe uses 1/5 cup of sugar for every 2 tablespoons of flour. This establishes a ratio of sugar to flour as 1/5 cup of sugar : 2 tablespoons of flour.

First, let's find the number of tablespoons of flour in one cup of sugar by setting up a conversion factor. We know that 5/5 equals to 1 cup, so if 1/5 cup of sugar uses 2 tablespoons of flour, then multiplying that by 5 will give us the amount for a full cup:

1/5 cup sugar × 5 = 1 cup sugar

2 tablespoons flour × 5 = 10 tablespoons flour

Therefore, for 1 cup of sugar, you would use 10 tablespoons of flour.