Question

A ferry 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? ​

Answer 1

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