Will mark brainlest
which system of inequalities could be used to solve the problem below?

a local theater has a maximum capacity of 1,000 people. for their latest production, adult tickets cost $25 and youth tickets cost $12.50. the theater must bring in more than $15,000 for the show to go on. how many of each tickets must be sold to save the show?

200 adult tickets and 800 youth tickets must be sold to save the show

Step-by-step explanation:

Systems of Linear Equations

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

the dimensions are:

step-by-step explanation:

we want to find the dimensions of a rectangular box with volume of

we factor to obtain;

we rewrite the rightmost factor to obtain;

recall that:

we apply difference of two squares formula to obtain;

hence the dimensions are

just take the area of the square and then the area of the circle then subtract the circle area from the squares area

step-by-step explanation: