What equation would I use to solve this problem

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.

looks like some algebra

you see the difference

let O be the number of ordinary cars

let S be the number of SUV

O - S = 17

we also know that the percentage of ordinary cars is 77.3 larger than sport utility vehicles

this means that if there is 1 SUV there are 1.773 ordinary cars

so the equation for this is

O/S = 1 + 0.773

now you solve for O in one of the equations and put it in the other and then solve for S in the other equation

O = S*1.773
put in equation one
O - S = 17
S*1.773 - S = 17
S*(1.773-1) = 17
S *(0.773) = 17
S = 17/0.773
S = 21.9
rounding off means

S = 22 Suv's in the lot

you can solve for the value of ordinary vehicles by putting back into either equation one or the equation 2

O - S = 17
and S - 22
then
O = 22+ 17 = 39

to check percentage

39/22 = 1.7727272727272727272727272727273

once rounded the answer is the same as the question

C = 1.773*S
C - S = 17
Solving simultaneously,

S = 22
C = 39