Answer:
11 x - 10 y = 25
Explanation:
Given:
Big Gym Fitness charges $22 per month for a membership. All-Day Fitness charges $20 per month plus $50 membership fee.
To find:
equation that can be used to determine how many months will the total amount paid to the two fitness clubs be the same
Solution:
Let x denotes number of months a person has been enrolled in Big Gym Fitness and y denotes number of months a person has been enrolled in All-Day Fitness
Amount charged in Big Gym Fitness = 22 x
Amount charged in All-Day Fitness = 20 y + 50
So,
22 x = 20 y + 50
Divide the equation by 2
11 x = 10 y + 25
11 x - 10 y = 25