Final answer:
To find the number of student tickets sold, we set up a system of equations based on the given information. By solving this system, we find that 45 student tickets were sold.
Step-by-step explanation:
To find the number of student tickets sold, we need to set up a system of equations based on the given information. Let's assume 'a' represents the number of adult tickets sold and 's' represents the number of student tickets sold.
From the given information, we know that the total number of tickets sold is 160: a + s = 160. We also know that the total revenue from ticket sales is $390: 3a + 1.5s = 390.
We can solve this system of equations by substitution or elimination to find the values of 'a' and 's'. Let's use the elimination method:
Multiply the first equation by 3 to make the coefficients of 'a' in both equations the same:
3a + 3s = 480
Now subtract the second equation from the first equation:
(3a + 3s) - (3a + 1.5s) = 480 - 390
2s = 90
Divide both sides of the equation by 2:
s = 45
Therefore, 45 student tickets were sold.