Answer:
After 5 months
Step-by-step explanation:
Step one:
given data
LA Fitness charges a registration fee of $75 plus $35.75 per month for members
let the number of months be x
and the total charges be y
total is
y= 75+35.75x----------1
Gold's Gym charges a registration fee of $164 plus $17.95 for members
let the number of months be x
and the total charges be y
total is
y= 164+17.95x----------2
Step two:
equate 1 and 2
75+35.75x= 164+17.95x
solve for x
35.75x-17.95x=164-75
17.8x=89
divide both sides by 17.8
x=89/17.8
x=5 months