Question

Country Carpets charges $25 per square yard for carpeting and an additional installation fee of $120. City carpets charges $35 per square yard for the same carpeting and an additional installation fee of $80. Write and solve an equation to find the number of square yards of carpeting for which the total cost charged by the two companies will be the same.​

Answer 1

Explanation:

25x+120=35x+80

25x+120 is Country Carpets equation

35x+80 is City carpets equation

x=4

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

25*x+120-(35*x+80)=0

Pull out like factors :

-10x + 40 = -10 • (x - 4)

Solve : -10 = 0

Solve : x-4 = 0

Add 4 to both sides of the equation :

x = 4