A recipe uses 3/4 cup sugar for 12 cookies. How much sugar for 18 cookies?

A recipe uses 3/4 cup sugar for 12 cookies. How much sugar for 18 cookies?

• A. 1 cup
• B. 1 1/2 cup
• C. 1 1/4 cup
• D. 1 1/8 cup

Answer: (D)

Think about scaling a recipe proportionally. If you increase the number of cookies by a certain factor, you need the same factor more sugar to keep the mix the same. Here, 18 cookies are 1.5 times as many as 12 cookies (18/12 = 3/2). So the sugar amount must also be multiplied by 3/2: 3/4 × 3/2 = 9/8 cups. That equals 1 1/8 cups. So the correct amount is 1 1/8 cups. The other options do not match this exact scaled amount.

Think about scaling a recipe proportionally. If you increase the number of cookies by a certain factor, you need the same factor more sugar to keep the mix the same.

Here, 18 cookies are 1.5 times as many as 12 cookies (18/12 = 3/2). So the sugar amount must also be multiplied by 3/2: 3/4 × 3/2 = 9/8 cups. That equals 1 1/8 cups.

So the correct amount is 1 1/8 cups. The other options do not match this exact scaled amount.