Pls help this is due in an hour!! thank you It costs $60 to join the Alpha Fitness Club, plus an additional $5 per month. It costs $20 to join the Omega Fitness Club, plus an additional $10 per month. After how many months of membership would it cost the same to belong to either fitness club? What is that cost?
10a) After months,
10b) the cost to belong to either fitness club would be .

Well, we know that it costs $60 plus 5 per month for Alpha Fitness Club.

We also know that it costs $20 plus 10 per month for Omega Fitness Club.

In order to find out which one would cost the most, we must add the additional costs to the original join cost.

(NEVER add the join cost, just do the join cost at the beginning or else the clubs will never become the same cost.)

Club      M1  M2  M3  M4  M5  M6  M7  M8  M9

Alpha:   60   65  70   75   80   85   90  95  100

Omega:20   30  40   50   60   70   80  90  100

If you look above, you realize that there is a time when they both cost the same.

Summary sentence:

After 9 months, the cost to belong to either fitness club would be $100.

answer: 21$

step-by-step explanation:

$42 / $14 = 3   (ratio 3: 1)

$7 x 3 = $21