Question

Keira used 7 2 3 yards of fabric to make a quilt. after making the quilt, she had 3 1 3 yards of the fabric left. x − 7 2 3 = 3 1 3 how many yards of fabric did keira have before making the quilt?

a. 11
b. 9 1 3
c. 10
d. 13 2 3

Answer 1

To find the initial amount of fabric Keira had, the equation x - 7 2/3 = 3 1/3 is solved by adding 7 2/3 to both sides, giving x = 11. Therefore, Keira initially had 11 yards of fabric.

Step-by-step explanation:

Keira's initial amount of fabric can be found by solving the equation x - 7 \frac{2}{3} = 3 \frac{1}{3}. To isolate x, add 7 \frac{2}{3} yards to both sides of the equation:

x - 7 \frac{2}{3} + 7 \frac{2}{3} = 3 \frac{1}{3} + 7 \frac{2}{3}

This simplifies to:

x = 11

Thus, Keira had 11 yards of fabric before making the quilt. The correct answer is option (a) 11.