Final answer:
To find out how many sweatshirts can be made with 11 1/4 yards of fabric, when each requires 3/4 yard, we divide the total yards by the yards per sweatshirt. The calculation shows that you can make 15 sweatshirts.
Step-by-step explanation:
The question involves solving an equation to find out how many sweatshirts can be made using a certain amount of fabric. Each sweatshirt requires 3/4 yard of fabric, and there are 11 1/4 yards of fabric available. To find the number of sweatshirts that can be made, we will set up a division problem. Here's the step-by-step solution:
- First, convert the available fabric to the same units as the fabric required for each sweatshirt. 11 1/4 yards is equivalent to 45/4 yards (since 11 yards is 44 quarters, plus 1 more quarter equals 45 quarters).
- Next, divide the total available fabric by the amount needed for one sweatshirt: (45/4) ÷ (3/4)
- To divide fractions, multiply by the reciprocal of the divisor: (45/4) × (4/3)
- Multiply the numerators and the denominators: (45 × 4) / (4 × 3)
- Simplify: 180/12 which equals 15
Therefore, you can make 15 sweatshirts with 11 1/4 yards of fabric.