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?

Question

Mathematics

Lincoln Schneider

17 June, 22:32

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?

+2

Answers (1)

Know the Answer?

Kathy Hansen · Answer 1

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