Question

Renee is wanting to join a gym.
Pumping iron has a $90 membership fee and is $10 a month. Fit for life has a $50 membership fee and is $15 a month.
After how many months will the two gyms cost Renee the same amount of money?

Create an equation to represent the situation. Then, solve your equation.

Answer 1

Pumping iron: 10x+90=0
Fit for life: 15x+50=0

Set them equal to each other. 10x+90=15x+50. Solve for x. Subtract 50 from both sides, get 10x+40=15x, then subtract 10x from both sides, getting 40=5x. Divide 5 from both sides to isolate x, x=8. After 8 months the two gyms will cost the same.