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
