Question

Karan needs to choose between two gym plans. He can either pay a $150 joining fee and a $10 monthly fee, or he can pay a $50 joining fee and a $30 monthly fee.
On what month will the cumulative costs of the plans be equal, and what will those total costs be

Answer: Karan will pay a cumulative cost of___?___ dollars with either plan to go to the gym for __?__ months.

Answer 1

Let  x be the month on which the fee for two plans are equal.

Therefore,

150 + 10x = 50 + 30x

10x - 30x = 50 - 150

-20x = -100

x = 5

Cumulative cost = 150 + 10(5)

                           = 150 + 50

                           = 200

Hence, Karan will pay a cumulative cost of $200 dollars with either plan to go to the gym for 5 months.