Question

University Theater sold 465 tickets for a play. Tickets cost $23 per adult and $13 per senior citizen. If total receipts were $7145, how many senior citizen tickets were sold?

Answer 1

355 senior citizen tickets were sold.

Explanation:

Assuming a to the the ticket of adults and s to be the ticket of senior citizens, we can write two equations as:

`a +s=465` --- (1)

`23a+13s=7145` --- (2)

From equation 1,
`a=465-s`.

Substitute
`a` in equation 2 to get:

`23 (465-s) + 13s = 7145`

`10695 - 23s +13s =7145`

`-10s = -3550`

`s = 355`

Therefore, there were 355 senior citizen tickets sold.