Question

1. Tickets to a concert were $5 for children and $10 for adults. If attendance at one show was 800, and the total receipts for that show were $7000, how many adults attended?

Answer 1

The number of adults attended was 600

Explanation:

Let

x ----> the number of children attended

y ----> the number of adults attended

we know that

`x+y=800` -----> equation A

`5x+10y=7,000` ----> equation B

Solve the system by graphing

The solution of the system of equations is the intersection point both graphs

using a graphing tool

The solution is the point (200,600)

see the attached figure

therefore

The number of children attended was 200 and the number of adults attended was 600