Question

You want to rent a television. Company A charges $40 per week plus a one-time fee of $25. Company B charges $35 per week plus a one-time fee of $45. After how many weeks are the total costs the same at both companies?

Answer 1

4 weeks

Explanation:

Company A charges $40 per week and a one time fee of $25

Company B charges $35 per week and a one time fee of $45

Therefore the number of weeks required for both companies to arrive at the same cost can be calculated as follows

Company A = 45 + 35×4

= 45 + 140

= 185

Company B = 25 + 40×4

= 25 + 160

= 185

Hence it will cost both companies 4 weeks