Question

Ann's Jim charges $20 per month plus $5 per visit Blake gym charges $30 per month plus $3 per visit ann and Blake make the same number of visits per month how many visits would make their monthly cost equal

Answer 1

the number of visits that would make their monthly cost equal ​is 5 visits

Step-by-step explanation:

Ann's Gym charges :

Amount per month = $20

let the number of mionths = x

let the number of visits = y

Additional fee per visit = $5

Total amount = 20 × x + 5 ×y

Total amount = 20x + 5y

Blake's gym charges:

Amount per month = $30

let the number of mionths = x

let the number of visits = y

Additional fee per visit = $3

Total amount = 30 × x + 3×y

Total amount = 30x + 3y

If the number of month = 1

And they make the same amount per month:

Ann's Gym charges = 20x + 5y = 20(1) + 5y = 20 + 5y

Blake's gym charges = 30x + 3y = 30(1) + 3y = 30 + 3y

Since the y make same amount, we equate both equations:

20 + 5y = 30 + 3y

collect like terms:

5y - 3y = 30 - 20

2y = 10

y = 10/2

y = 5

Hence, the number of visits that would make their monthly cost equal ​is 5 visits