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 the number of costumes Scott can make, we need to divide the total amount of fabric he has (12 yards) by the amount of fabric each costume uses (3/4 yard).
Therefore, the number of costumes Scott can make is 12 / (3/4) = 12 * (4/3) = 48/3 = <<12*(4/3)=16>>16.
The answer is 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 needed for each costume.
1. Determine the amount of fabric needed per costume : Each costume requires 3/4 yard of fabric.
2. Calculate the total number of costumes: Divide the total amount of fabric (12 yards) by the amount of fabric needed per costume (3/4 yard).
Total number of costumes = (12 yards) ÷ (3/4 yard)
3. Simplify the division: When dividing by a fraction, you can multiply by the reciprocal of the fraction (flip the numerator and denominator).
Total number of costumes = (12 yards) × (4/3 yard)
4. Multiply the fractions: Multiply the numerators together to get the new numerator, and multiply the denominators together to get the new denominator.
Total number of costumes = (12 × 4) ÷ (3)
5. Simplify the multiplication: Calculate the division.
Total number of costumes = 48 ÷ 3
6. Find the total number of costumes: Divide 48 by 3 to get the total number of costumes.
Total number of costumes = 16
So, Scott can make 16 costumes with 12 yards of fabric.
Answer: D. 16
To determine 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 needed for each costume (3/4 yard).
First, we need to convert 3/4 yard to a decimal. We can do this by dividing the numerator (3) by the denominator (4):
3 ÷ 4 = 0.75
Now, we can divide the total amount of fabric (12 yards) by the fabric needed for each costume (0.75 yard):
12 ÷ 0.75 = 16
So, Scott can make 16 costumes.
The correct answer is:
D. 16