Question

Jennifer has 84 yards of fabric. She makes 6 identical curtains and has 18 yards of fabric left over. Which equaton and solution shows the correct amount yards, y, she used per curtain?

Answer 1

a) 6x + 18 = 84

b) 11 yards

Explanation:

a) You have that Jennifer made 6 identical curtains. If you chose x as the number of yards of fabric used for one curtain, you have that the total number of yards in the 6 curtains o fabric is

`6x`

Furthermore, if you sum 18 yards to the 6x yards, the total amount of yards must be 84. Thus, you have the following equation:

`6x+18=84`

b) Next, you solve the equation for x:

`6x+18=84\\\\6x=84-18\\\\6x=66\\\\x=(66)/(6)=11`

Then, 11 yards were use to make each curtain.