Question

In a community college parking lot, the number of ordinary cars is larger than the number of sport utility vehicles by $94.7$%. The difference between the number of cars and the number of SUVs is $18$. Find the number of SUVs in the lot.

Answer 1

Let $o$ represent the number of ordinary cars and $s$ the number of sport utility vehicles. We know $o=s+0.947s=1.947s$, and $o=s+18$.

We eliminate $o$ by substitution:

$s+18=1.947s\to 0.947s=18\to s=18/0.947=19$