Question

Company A charges $28.50 plus $18 per room to clean carpet. Company B charges $16.50 plus 20 per room. Write an equation that can be used to find the number of rooms,n, for which the total cost is the same for each company.

Answer 1

n = 6 so 6 rooms

Explanation:

20n + 16.50 = 18n + 28.50

20n + 16.50 - 16.50 = 18n + 28.50 - 16.50

20n = 18n + 12

20n - 18n = 18n - 18n + 12

2n = 12

2n/2 = 12/2

n = 6