Ciara is making a new dance outfit for a dance performance in her high school. She needs 2 1/2 yards of fabric for the shawl. She also needs 1 3/4 yards of fabric for the dress. If she has 3 yards of fabric, how much more fabric will Ciara need?

Step-by-step explanation:

To make the new dance outfit, she needs 2 1/2 yards of fabric for the shawl. Converting 2 1/2 yards to improper fraction, it becomes 5/2 yards.

She also needs 1 3/4 yards of fabric for the dress. Converting 1 3/4 yards to improper fraction, it becomes 7/4 yards.

The total number of yards of fabric that she needs is

5/2 + 7/4 = 17/4 yards

If she has 3 yards of fabric, then the number of extra yards of fabric that Ciara needs is

17/4 - 3 = 5/4 = 1 1/4 yards

-2x + 7 = 7

subtract 7 from both sides.

-2x = 0

divide both sides by -2.

x = 0