QUESTION IN DESCRIPTION

Question

A youth group and their leaders visited linville caverns in Marion, NC. Two adults and 5 students in one van paid $53 for a tour of the cave.. Two adults and 7 students in another van paid $67 for the same tour. What is the cost for one student ticket for the tour?

Answer 1

Let adult and students be denoted by x and y respectively.

Then,

2x + 5y = 53 ---------------(1)

and 2x + 7y= 67 -------------(2)

on subtracting (1) from (2) we get:

2y = 14 or y =7

So the cost for one student is $7