The ratio of the number of cars to the number of vans in a parking lot was 5 : 2. after 1/3 of the cars left, there were 16 more cars than vans in the parking lot. how many vans were in the parking lot?

There were 24 vans in the parking lot.

Step-by-step explanation:

Let

The ratio of the number of cars to the number of vans in a parking lot was 5:2.

c/v = 5/2

c = 5/2 v [1]

After 1/3 of the cars left, that is, there were 2/3 of the initial cars, there were 16 more cars than vans in the parking lot.

2/3 c = v + 16 [2]

If we replace [1] in [2],

2/3 . (5/2 v) = v + 16

5/3 v = v + 16

2/3 v = 16

v = 24

There were 24 vans in the parking lot.

option (b) is correct

step-by-step explanation:

to find the solution of this system, we need to convert it into reduced row-echelon form. we have,

after applying row operations r2 -> r2/2 and r3 -> r3/3, we get,