Question

Anyone know algebra enough to help me out?

You and your friend were working the ticket table at the last school basketball game. The tickets sold for $16 for adults and $10for students. A total of 221
people attended the game and a total of $3050 was taken in at the ticket table. How many adult tickets and how many student tickets were sold?

Answer 1

81 students, 140 adults

Explanation:

We have a certain number of adults (`a`) and students (`s`) attend a game. We're told that a total of 221 people attended the game, and so:

`a+s=221`

We're also told that each adult pays $16 (so the amount collected from adults is `16a`) and each student pays $10 (so the amount collected from students is `10s`).

We're told a total of $3050 was collected, and so:

`16a+10s=3050`

We have 2 equations with 2 variables, so we're good to go. We solve the first equation for a variable. I'll pick `a`:

`a=221-s`

Now substitute into equation 2:

`16(221-s)+10s=3050`

`3536-16s+10s=3050`

`-6s=-486`

`s=81`

`:.a=221-81=140`