There are three combinations: first class and second class, second class and third class, first class and third class.
First of all, the combination of first-class and second-class seats is not feasible, because even if all the second-class seats are bought, 36 tickets will cost more than 7,200 US dollars and 5,025 US dollars.
Therefore, we can only choose two schemes: 1, the combination of first and third seats, and the combination of second and third seats.
Two equations can be obtained.
1, x first-class seats, 36-x third-class seats.
300x+ 125(36-x)=5025
300x+4500- 125x=5025
175x=525
x=3
36 x = 33
There are x second-class seats and 36-x third-class seats.
200x+ 125(36-x)=5025
200x+4500- 125x=5025
75x=525
x=7
36 x = 29
So * * * there are two schemes:
Three first class seats and 33 third class seats.
Seven second-class seats and 29 third-class seats.