Question

Tickets to a play cost $20 for adults and $5 for students. 500 tickets were sold for $7000.

How many adults and students attended ?

Answer 1

300 adults, 200 students

Explanation:

1) Let the number of adult tickets sold be
`x`, so the number of student tickets sold is
`(500-x)`

2) Adult tickets are $20 each so the amount of money made from these
`20x`

3) Student tickets are $5 each so the amount of money made from these

4) Because $7000 was made in total, we have
`20x+5(500-x)=7000`

5) Solving this, we obtain
`x=300`

6) So the number of adults was
`300`, and the number of students was
`500-300=200`