Exercise Plus charges a yearly fee of $75 plus $10 a month. Gym and Swim charges a yearly fee of $50 plus $15 a month. When , if ever, is the cost the same?

Respuesta :

Answer:

5 months will be the same cost at each gym.

Step-by-step explanation:

As

  • Exercise Plus charges a yearly fee of $75 plus $10 a month.
  • Gym and Swim charges a yearly fee of $50 plus $15 a month.

Let [tex]x[/tex] by the number of months

[tex]75+10x=50+15x[/tex]

[tex]10x=15x-25[/tex]

[tex]-5x=-25[/tex]

[tex]\frac{-5x}{-5}=\frac{-25}{-5}[/tex]

[tex]x=5[/tex]

Therefore, 5 months will be the same cost at each gym.