Answer: it would take 22 hours before you pay the same amount for both Garages.
Step-by-step explanation:
Let x represent the number of hours that you park at either Garage A or Garage B
Let y represent the total amount paid for x hours at Garage A
Let z represent the total amount paid for x hours at Garage B
Garage A charges $11 for the first 2 hours of parking there and then $3 per hour after the first 2 hours. This means that the total amount for x hours would be
y = 2 × 11 + 3x
y = 22 + 3x
Garage B charges $4 per hours. This means that the total amount for x hours would be
z = 4x
To determine the number of hours before the amount for both Garages becomes the same, we would equate y to z. It becomes
22 + 3x = 4x
4x - 3x = 22
x = 22
