Question

The drama club sold 2100 tickets to their last play. Student tickets were $5 and adult tickets were $7. They collected $12,950. How many student tickets were sold?

Answer 1

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 $x.$

And the number adult tickets be $y.$

So, the total number of tickets:

$x+y=2100\\y=2100-x$

Now, the total amount collected:

$5x+7y=12950$

Putting the value of $y$ from above:

$5x+7(2100-x)=12950$

$5x+14700-7x=12950$

$14700-2x=12950$

Subtracting both sides by 14700 we get:

$-2x=-1750$

Dividing both sides by -2 we get:

$x=875.$

The number of student tickets = 875.

Therefore, 875 student tickets were sold.