3.25s + 5.00(s+16) = 740
s = 80
so, 80 student tickets, 96 adult tickets
s = 80
so, 80 student tickets, 96 adult tickets
According to the given information, the price of a student ticket is Rs 3.25, and the price of a full-price ticket is Rs 5. The equation representing the total sales is:
3.25x + 5y = 740 ----(1)
We are also given that 16 more full-price tickets were sold than student tickets. So the equation representing this information is:
y = x + 16 ----(2)
Now we have a system of two equations. We can substitute equation (2) into equation (1) to eliminate one variable and solve for the other. Substituting y = x + 16 into equation (1), we get:
3.25x + 5(x + 16) = 740
3.25x + 5x + 80 = 740
8.25x + 80 = 740
8.25x = 660
x = 660/8.25
x = 80
So, the number of student tickets sold is 80. To find the number of full-price tickets sold, we can substitute this value of x into equation (2):
y = x + 16
y = 80 + 16
y = 96
Therefore, the number of full-price tickets sold is 96.
To summarize:
- The number of student tickets sold is 80.
- The number of full-price tickets sold is 96.