Problema Solution
Parking Lot A has twice as many cars as Parking Lot B. After 10 cars draw away from Parking lot A, and 13 cars moved from parking lot A to Parking lot B, Parking lots have the same amount of cars. How many cars were there in each Parking Lot?
Answer provided by our tutors
Let
a = the number of cars on Parking Lot A
b = the number of cars on Parking Lot B
Parking Lot A has twice as many cars as Parking Lot B means:
a = 2b
After 10 cars draw away from Parking lot A, and 13 cars moved from parking lot A to Parking lot B, Parking lots have the same amount of cars:
a - 10 - 13 = b + 13
a - 23 = b + 13
a - 23 - b + 23 = b + 13 - b + 23
a - b = 36
We have the following system pf equations:
a = 2b
a - b = 36
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Click here to see the system of equations solved for a and b
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a = 72 cars
b = 36 cars
There were 72 cars on the Parking Lot A and 36 cars on the Parking Lot B.