Answer:
<em>200 adult tickets and 800 youth tickets must be sold to save the show</em>
Step-by-step explanation:
<u>Systems of Linear Equations</u>
If 2 or more variables are related in 2 or more equations, we have a system which could provide a solution by a number of methods.
The audience of the local theater could have x adults and y youth people. It has a maximum capacity of 1,000 people. It can be expressed as
Since adult tickets cost $25 and youth tickets cost $12.50, the total income for selling the tickets is 25x+12.5y and it should be more than $15,000, so
Multiplying by 2
Dividing by 25
If the theater is at maximum capacity and they want to save the show, the following system of equations must be solved
Multiplying the first equation by 2
Adding both equations and solving for x
We know that
Solving for x
200 adult tickets and 800 youth tickets must be sold to save the show