Write the equation based on the problem
r stands for the price of a regular ticket, v stands for the price of a VIP ticket.
⇒ 69r + 40v = 12,601
⇒ 80r + 55v = 16,300
Solve the equation using elimination method.
I'm eliminating v, so I can find the r. We can eliminate v by changing the coefficient of first and second equation into the same number.
69r + 40v = 12,601 (multiply 11)
80r + 55v = 16,300 (multiply 8)
-----------------------------------------
759r + 440v = 138,611
640r + 440v = 130,400
------------------------------ - (substract)
119r = 8,211
r = 69
Subtitute 69 as r to one of the equation and find v
80r + 55v = 16,300
80(69) + 55v = 16,300
5,520 + 55v = 16,300
55v = 10,780
v = 196
So the price of a regular ticket is $69 and the price of a VIP ticket is $196
Find the difference
difference = 196 - 69
difference = 127
The difference is $127