Question

Gym A charges a new member fee of $65 and $20 per month Gym B charges a new member fee of $25 and $35 per month but you get a discount of 20% monthly

Answer 1

Answer: it will take 5 months for both gyms to cost the same.

Step-by-step explanation:

Let x represent the number of months for which the total cost of gyms are the same.

Gym A charges a new member fee of $65 and $20 per month. This means that the cost of using gym A for x months would be

20x + 65

Gym B charges a new member fee of $25 and $35 per month but you get a discount of 20% monthly.

20% of 35 is 20/100 × 35 = 7

The monthly charge would be

35 - 7 = 28

This means that the cost of using gym A for x months would be

28x + 25

The number of months that it will take for the cost of both gyms to be the same would be

20x + 65 = 28x + 25

28x - 20x = 65 - 25

8x = 40

x = 40/8 = 5