Question

Diana has 1 square yard of fabric she will make one pillow that requires 3/8 square yard of fabric and another pillow that requires 2/8 square yard of fabric Diana uses the equations shown below to explain her process to find the number of square yards of fabric she will use and the number of square yards of fabric she will have left

Answer 1

Diana uses 5/8 square yard of fabric for both pillows.

There remains 3/8 square yard of fabric.

Explanation:

Givens

• The total amount of fabric is 1 square yard.
• One pillow requires 3/8 square yard of fabric.
• A second pillow requires 2/8 square yard of fabric.

To find the total amount of fabric Diana used, we must sum those fractions

`(3)/(8) +(2)/(8)=(5)/(8)`

Diana uses 5/8 square yard of fabric for both pillows.

Now, we subtract to find the remaining amount of fabric

`1-(5)/(8)=(8-5)/(8)=(3)/(8)`

Therefore, there remains 3/8 square yard of fabric.