Final answer:
To find out how many blouses can be made from 63 yards of fabric, where each blouse needs three-fourths of a yard, divide 63 yards by three-fourths (or multiply by the reciprocal, four-thirds), which results in 84 blouses.
Step-by-step explanation:
The question is asking to calculate the number of blouses that can be made from a piece of fabric that is 63 yards long when each blouse requires three-fourths of a yard of fabric. To solve this, you need to divide the total length of fabric by the amount of fabric required for one blouse.
- Determine the amount of fabric needed for one blouse: three-fourths of a yard.
- Divide the total length of fabric by the amount needed for one blouse: 63 yards ÷ three-fourths of a yard.
- To divide by a fraction, multiply by its reciprocal. The reciprocal of three-fourths is four-thirds, so you multiply 63 by four-thirds: 63 ÷ (3/4) = 63 x (4/3).
- Multiply 63 by four-thirds to find the number of blouses: 63 x 4 ÷ 3 = 84 blouses.
Therefore, it is possible to manufacture 84 blouses from the 63 yards of fabric.