To determine how many costumes Scott can make with 12 yards of fabric where each costume uses \( \frac{3}{4} \) yard, we can perform the following calculation:
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Start with the total amount of fabric Scott has: \[ \text{Total fabric} = 12 \text{ yards} \]
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Determine how much fabric is used for each costume: \[ \text{Fabric per costume} = \frac{3}{4} \text{ yard} \]
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To find out how many costumes Scott can make, we divide the total fabric by the amount of fabric used per costume: \[ \text{Number of costumes} = \frac{12 \text{ yards}}{\frac{3}{4} \text{ yard/costume}} \]
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To divide by a fraction, you can multiply by its reciprocal: \[ \text{Number of costumes} = 12 \text{ yards} \times \frac{4}{3} = \frac{12 \times 4}{3} = \frac{48}{3} = 16 \]
So, Scott can make 16 costumes. The answer is:
D. 16