Phyllis paid $408 for new wall-to-wall carpeting in her living room. The carpeting was $12 per square yard, plus a $120 installa
tion charge. How many square yards did she buy?
A. 26 sq yd
B. 34 sq yd
C. 44 sq yd
D. 24 sq yd
2 answers:
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.
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
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