Aferry is carrying 600 vehicles, including trucks and passenger vehicles. the fees collected total $29,200. the charge per truck is $100. the charge per passenger vehicle is $45. how many trucks and how many passenger vehicles is the ferry carrying?

Let m be the no of trucks and n be the no of passenger vehicles...

Then m + n = 600

and 100m + 45n = 29200

Multiplying 1st equation by 45, we have 45m+45n=27000

then subtracting from 2nd eqn we have, 55m = 2200 that is m=40.Then n=560

So we have 40 trucks and 560 passenger vehicle

because linear equations are a lot simpler than quadratics equations, and linear equations formula is a lot easier to memorize. that's why i think they're harder.