Answer:
5 months will be the same cost at each gym.
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
by the number of months
![75+10x=50+15x](https://img.qammunity.org/2021/formulas/mathematics/middle-school/bm63ypi922i40dfioxr27kntxiplmidkdd.png)
![10x=15x-25](https://img.qammunity.org/2021/formulas/mathematics/middle-school/8hbpcakmi88ci0stia7io1o9o69qu3q43m.png)
![-5x=-25](https://img.qammunity.org/2021/formulas/mathematics/middle-school/jiogirsrfp8so7ki4e5oy6xu5ez1syf0s2.png)
![(-5x)/(-5)=(-25)/(-5)](https://img.qammunity.org/2021/formulas/mathematics/middle-school/6mtqd9ezria8ot163p2005em5nkmj8nju7.png)
![x=5](https://img.qammunity.org/2021/formulas/mathematics/middle-school/r130cmidu5qpu4isx9n84rpneq2ec7gp1u.png)
Therefore, 5 months will be the same cost at each gym.