Question

John is selling tickets to an event. Attendees can either buy a general admission ticket or a VIP ticket. The general admission tickets are $70 and the VIP tickets are $105. If she knows he sold a total of 33 tickets and made $2730, how many of each type did she sell?

Answer 1

The number of general admission tickets sold was 21 and the number of VIP tickets sold was 12

Explanation:

Let

x ----> the number of general admission tickets sold

y ----> the number of VIP tickets sold

we know that

`x+y=33` ---> equation A

`70x+105y=2,730` ----> equation B

Solve the system of equations by graphing

Remember that the solution is the intersection point both lines

using a graphing tool

The solution is the point (21,12)

see the attached figure

therefore

The number of general admission tickets sold was 21 and the number of VIP tickets sold was 12