Question

In a college parking lot, the number of ordinary cars is larger than the number of sport utility vehicles by 77.3%. the difference between the number of cars and the number of suvs is 17. find the number of suvs in the lot.

Answer 1

Let x be the number of ordinary cars

Let y be the number of SUV's

The difference between the number of ordinary cars and the number of suvs is 17.

So x-y=17 ----> first equation

The number of ordinary cars is larger than the number of sport utility vehicles by 77.3%.

ordinary cars = SUV + 77.3% of SUV

x = y + 0.773y

x = 1.773y

Now we solve for y

We plug in x=1.773y in first equation

1.773y - y=17

0.773y = 17

y = 21.9922

Number of SUV's = 22