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

875 student tickets were sold.

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.