Question 57158
To solve this question you must change the word problem to a linear equation.

This can be done by making the passengers that paid $120 for their ticket (X) and the passenger that paid $230 for their ticket (Y)

The total amount of passengers is;

X+Y=89

and the ticket cost per passenger can be represented by;

120X+230Y=14200

by multiplying the first equation by 120, you can solve the system for y. This is shown below.

(X+Y=89)x120
120X+120Y=10680

isolate Y from the 2 equations;

120X+120Y=10680
120X+230Y=14200
-110Y=-3520
Y=32

Substitute Y into the first equation to find X

X+Y=89
X+32=89
X=57

So 57 passengers paid $120 and 32 paid $230