Answer:
875 student tickets were sold.
Step-by-step explanation:
Given:
The drama club sold 2100 tickets to their last play.
Student tickets were $5 and adult tickets were $7.
They collected $12,950.
Now, to find the number of student tickets sold.
Let the number student tickets be [tex]x.[/tex]
And the number adult tickets be [tex]y.[/tex]
So, the total number of tickets:
[tex]x+y=2100\\y=2100-x[/tex]
Now, the total amount collected:
[tex]5x+7y=12950[/tex]
Putting the value of [tex]y[/tex] from above:
[tex]5x+7(2100-x)=12950[/tex]
[tex]5x+14700-7x=12950[/tex]
[tex]14700-2x=12950[/tex]
Subtracting both sides by 14700 we get:
[tex]-2x=-1750[/tex]
Dividing both sides by -2 we get:
[tex]x=875.[/tex]
The number of student tickets = 875.
Therefore, 875 student tickets were sold.
