Question

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?

PLEASE HELP ASAP

Answer 1

a=72 and b=36

Explanation:

A=2B

A-10-13=B+13

Answer 2

Number of cars in Parking lot A = 72 and in Parking Lot B = 36

Explanation:

Let the number of cars in parking A is = A and in parking B is = B

Now we will make the equations

" Parking lot A has twice as many cars as Parking lot B"

A = 2B ------(1)

"After 10 cars draw away form parking lot A, and 13 cars moved from parking lot A to parking lot B then both the lots have same amount of cars."

A - 10 - 13 = B + 13

A - 23 = B +13

A = B + 13 + 23

A = B + 36 ------(2)

Now we equate the values of A in both the equations

2B = B + 36

2B - B = 36

B = 36

From equation 1

A = 2B

A = 2×(36) = 72 cars

Therefore, number of cars in Parking lot A = 72 and in Parking Lot B = 36