Question

A total of 190 people attended the opening night of a school

musical. Student tickets cost $4.50 each while general
admission tickets cost $6 each. If total sales were $996, how
many general admission tickets were sold?

Answer 1

94

Explanation:

x=student tickets y=general admission

We can write the two following equations

x+y=190

4.5x+6y=996

I am going to solve this through substitution

We first need to get a variable by itself

x+y=190

x-190= -y

-x+190=y

We can plug this value in for y into the second equation

4.5x+6(-x+190)=996

4.5x-6x+1140=996

-1.5x= -144

x=96

Now that we know that x=96 we can plug this value into any of the two beginning equations and solve for y

96+y=190

y=94