In a college parking lot, the number of ordinary cars is larger than the number of sport utility vehicles by 42.9%. the difference between the number of cars and the number of suvs is 12. find the number of suvs in the lot.

Let

x = number of common cars

y = number of suvs

we can write the following system of equations

x-y = 12

x = 1.429y

Solving the system we have

x-y = 12

1.429y-y = 12

and (1,429-1) = 12

y = (12) / (1,429-1) = 27.97202797

then,

x = 1429 * (27.97202797)

x = 39.97202797

answer

The number of suvs in the parking lot is 28