Question

Parking lots A and B charge a set fee. A charges 36.50 for 5 hours. B charges 38.00 for 5 hours. Lot A charges 49.50 for 7 hours and lot B charges 50.00 for 7 hours. How many hours are needed to park where it would cost the same?

Answer 1

if you park for 12 hours in both parking lots A and B, it will cost the same amount, which is $64.50.

Explanation:

Let's assume that the cost of parking for x hours in both lots is the same, then we can set up the following equations:

For 5 hours of parking:

36.50 = 38.00

This is not true, so we know that the cost for parking in both lots will not be the same for 5 hours.

For 7 hours of parking:

49.50 = 50.00

This is also not true, so we know that the cost for parking in both lots will not be the same for 7 hours either.

Let's try setting up the equation for x hours of parking:

Fee for parking in Lot A = Fee for parking in Lot B

36.50 + (x-5)*7 = 38.00 + (x-5)*7

Simplifying the equation, we get:

36.50 + 7x - 35 = 38.00 + 7x - 35

Solving for x, we get:

x = 12

Therefore, if you park for 12 hours in both parking lots A and B, it will cost the same amount, which is $64.50.