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6 April, 16:36

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

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Answers (2)
  1. 6 April, 17:48
    0
    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.
  2. 6 April, 17:56
    0
    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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