Question

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.

Answer 1

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