Intermediate algebra by OPENSTAX

Question

Carmen wants to tile the floor of his house .He will need 1,000 square feet of tile. He will do most of the floor with a tile that costs $1.50 per square foot, but also wants to use an accent tile that costs $9.00 per square foot. How many square feet of each tile should he plan to use if he wants the overall cost to be $3 per square foot

Answer 1

P = # Plain tiles and A = # accent tiles

P + A = 1000

(3/2)P + 9A =3000

3P + 3A = 3000

3P + 18A = 6000

15A = 3000

A = 200

P = 800