Question

Jane sold 100 tickets for her school auction. Adult tickets cost $12 and the children tickets cost $8. Jane collected a total of $944. Write a system of equations for this situation

Answer 1

see the explanation

Explanation:

Let

x ----> number of adult tickets

y ----> number of children tickets

we know that

Jane sold 100 tickets for her school auction

so

`x+y=100` ----> equation A

Jane collected a total of $944

`12x+8y=944` ----> equation B

Solve the system by graphing

Remember that the solution is the intersection point both graphs

using a graphing tool

The solution is the point (36,64)

see the attached figure

therefore

The number of adult tickets sold was 36 and the number of children tickets sold was 64