Question

Sue would like to join a gym. Gym A has a $56 joining fee with $3 per visit. Gym B has a $30 joining fee with a $5 per visit. Let x represent the number of visits. After how many visits would the cost of the two gyms be the same?

Answer 1

Let x represent the number of visits it will take for the cost of the two gyms to be the same.

Gym A has a $56 joining fee with $3 per visit. This means that the cost of x visits of gym A would be

3 * x + 56

= 3x + 56

Gym B has a $30 joining fee with a $5 per visit. This means that the cost of x visits of gym B would be

5 * x + 30

= 5x + 30

For both costs to be the same, it means that

3x + 56 = 5x + 30

5x - 3x = 56 - 30

2x = 26

x = 26/2

x = 13

After 13 visits, the cost of the two gyms would be the same