theatre sold the students tickets for Rs Rs3.25 and full price ticket Rs 5. on saturday 16 more fullprice ticket sold than student ticket .the total sales on that day was Rs 740. How many tickets sold ineach.
student tickets --- x
adult tickets ----- x+16
solve for x ....
3.25x + 5(x+16) = 740
(I get x=80)
To solve this problem, let's denote the number of student tickets as "x" and the number of full-price tickets as "x + 16" since there were 16 more full-price tickets sold than student tickets.
The price of a student ticket is Rs 3.25, and the price of a full-price ticket is Rs 5. So, the total sales from student tickets would be 3.25x, and the total sales from full-price tickets would be 5(x + 16).
According to the problem, the total sales on that day were Rs 740. So, we can write the equation as follows:
3.25x + 5(x + 16) = 740
Now, let's solve the equation step by step:
3.25x + 5x + 80 = 740
8.25x + 80 = 740
8.25x = 740 - 80
8.25x = 660
x = 660 / 8.25
x ≈ 80
So, approximately 80 student tickets were sold.
Now, to find the number of full-price tickets sold, we can substitute the value of "x" into the expression we defined earlier:
x + 16 ≈ 80 + 16
x + 16 ≈ 96
Approximately 96 full-price tickets were sold.
Therefore, approximately 80 student tickets and 96 full-price tickets were sold in total.