Phyllis paid $408 for new wall-to-wall carpeting in her living room. the carpeting was $12 per square yard, plus a $120 installation charge. how many square yards did she buy?

a. 26 sq yd

b. 34 sq yd

c. 44 sq yd

d. 24 sq yd

Wall to wall, means area of the floor

408=carpet+instalation
408=carpet+120
minus 120 both sides
288=carpet

12 per square foot
288=12x
divide both sides by 12
24=x

she bought 24 square yards

D is answer

Simple

first set up an equation

y=12x+120

Now there's two ways you can solve this plug n chug...or set them equal..

First we will plug n chug...

A.)26

y=12x+120

y=12(26)+120

y=312+120

y=432 (No)

B.)34

y=12x+120

y=12(34)+120

y=408+120

y=528 (No)

C.)44

y=12(44)+120

y=528+120

y=648 (No)

D.)24

y=12x+120

y=12(24)+120

y=288+120

y=408 (Yes)

The other way is setting it equal to...

12x+120=408

Isolate the variable...

12x+120=408
       -120   -120

12x=288

x=24

Thus, your answer.