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18 November, 18:25

A contractor charges $209 to carpet a 90-square-foot room and $289 to carpet a 140-square-foot room. the contractor charged a customer $553 to carpet a room under this same pricing plan. what was the area of the room that was carpeted?

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  1. 18 November, 19:17
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    90R + F = 209

    140R + F = 289

    If you solve this system of equations you get:

    R=$1.60/sq foot

    F=$65

    Let square footage to be carpeted be x

    1.6x + 65 = 553

    1.6x = 553-65

    x = (553-65) / 1.6

    x=305 sq feet
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