Answer:
25 months
Step-by-step explanation:
Big Gym Fitness charges $22 per month for a membership.
After x months, the charges will be:
22 * x = 22x
All-Day Fitness charges $20 per month plus $50 membership fee.
The membership fee is a one time payment. Hence, after x months, the charges will be:
50 + 20*x = 50 + 20x
After a certain number of months (x months) , the two fitness clubs will have the same charges. This occurs when:
22x = 50 + 20x
Hence, solving for x:
22x - 20x = 50
2x = 50
x = 50 / 2 = 25 months.
Their charges will be the same after 25 months.
