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While baking, Hannah discovered a recipe for cookies that required 3/4 cups of sugar for every 2+1/4 cups of flour. How many cups of sugar will she need for 4 cups of flour?

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Answer:

  1 1/3 cups of sugar

Step-by-step explanation:

We can write a proportion for the sugar and flour Hannah is using:

  sugar / flour = (3/4)/(2 1/4) = x/4

Multiplying by 4, we have ...

  x = 4(3/4)/(2 1/4) = 3/(2 1/4) = 3×(4/9)

  x = 4/3 = 1 1/3

Hannah will need 1 1/3 cups of sugar for 4 cups of flour.

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