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

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