Normal
Multiple Choice Question
Scott is making costumes for a dance recital. He has 12 yards of purple fabric. Each costume uses 3/4 yard of purple fabric. How many costumes can Scott make?
A.
3
B.
4
C.
9
D.
16
To find out how many costumes Scott can make, we need to divide the total amount of fabric he has by the amount of fabric each costume uses.
Total fabric = 12 yards
Fabric per costume = 3/4 yard
To divide 12 by 3/4, we can multiply by the reciprocal of 3/4, which is 4/3.
12 yards * (4/3 yards/1) = 48/3 = 16 costumes
Therefore, Scott can make 16 costumes with the 12 yards of fabric.
Answer: D. 16
To find out how many costumes Scott can make, we need to divide the total yards of purple fabric he has by the amount of fabric each costume requires.
Step 1: Divide the total yards of purple fabric (12) by the amount of fabric each costume requires (3/4).
12 / (3/4)
Step 2: To divide by a fraction, we can multiply by its reciprocal.
12 x (4/3)
Step 3: Multiply the whole number by the numerator, and divide by the denominator.
(12 x 4) / 3 = 48 / 3
Step 4: Simplify the fraction.
48 / 3 = 16
Scott can make 16 costumes.
Therefore, the correct answer is D. 16.
To find out how many costumes Scott can make, we need to divide the total amount of purple fabric he has (12 yards) by the amount of fabric used per costume (3/4 yard).
To divide fractions, we multiply the first fraction by the reciprocal of the second fraction.
So, we have:
12 yards ÷ (3/4) yards per costume
To divide, we have to multiply by the reciprocal, so the equation becomes:
12 yards × (4/3) yards per costume
Now we can cancel out the units of yards and calculate the answer:
12 × 4 = 48
48 ÷ 3 = 16
Therefore, Scott can make 16 costumes with the 12 yards of purple fabric.
The correct answer is D. 16.