Question

The car show sold the same number of general admission tickets as student discount tickets. The student tickets cost $6.00 less than the general admission tickets. The total amount of money collected for student tickets was $1800 and for general admission tickets, $3000. What was the price of a general admission ticket?

Answer 1

So there were 200 of each ticket sold. 
General admission = $15 
Student tickets = $9

Answer 2

Answer: $15

Step-by-step explanation:

Let the price of general ticket be x and the price of student ticket be y.

Since, student tickets cost $6.00 less than the general admission tickets.

$\Rightarrow y=x-6$

Also, the total amount of money collected for student tickets was $1800 and for general admission tickets, $3000.

The number of student tickets sold = $\frac{1800}{y}=\frac{1800}{x-6}$

The number of general tickets sold =  $\frac{3000}{x}$

Since, car show sold the same number of general admission tickets as student discount tickets.

Thus,

$\frac{1800}{x-6}=\frac{3000}{x}\\\\\Rightarrow1800x=3000(x-6)\\\\\Rightarrow1800x=3000x-18000\\\\\Rightarrow3000x-1800x=18000\\\\\Rightarrow1200x=18000\\\\\Rightarrow x=15$

Hence, the  price of a general admission ticket = $15