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Lyndsay is baking cookies. If one batch of cookies uses 1/3 cup of sugar, and she has 1/2 cup of sugar in her cupboard, how many batches of cookies can she make? (Note: It's possible to make a fraction of one batch.)

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Answer: 1¹/₂ batches

Step-by-step explanation:

Lyndsay is making cookies and 1/3 cup of sugar can make a batch of cookies.

This means that ratio wise, the following is true:

1 batch        :         1/3 cups of sugar

If she had only 1/2 cups however, the number of batches she could make using direct proportion is:

1          :        1/3

x         :         1/2

1/3x = 1/2

x = 1/2 ÷ 1/3

x = 1/2 * 3/1

x = 3/2

x = 1 1/2 batches

x= 1¹/₂ batches