Question

John and Caleb want to make the high school basketball gym, so they are going to join a gym over the summer. John decided to go to Planet Fitness, which costs $30 to join, and $5 per visit. Caleb decided to go to Club4Fitness, which just charges $8 per visit. After how many visits have John and Caleb spent the same amount of money, and how much money did they spend?

Answer 1

10 visits

Explanation:

John and Caleb want to make the high school basketball gym, so they are going to join a gym over the summer.

Let the number of visits be represented as: x

For John

John decided to go to Planet Fitness, which costs $30 to join, and $5 per visit.

The equation = $30 + $5 × x

= 30 + 5x

For Caleb

Caleb decided to go to Club4Fitness, which just charges $8 per visit.

The Equation = $8 × x

= 8x

We equate both equations to each other

30 + 5x = 8x

Collect like terms

30 = 8x - 5x

30 = 3x

x = 30/3

x = 10

Therefore, John and Caleb would spent the same amount of money after 10 visits.