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A local children's theater sold tickets for their evening show at $5 for children and $15 for adults. For their afternoon matine

Oksanka [162]

The solution of the system of linear equations is $x = 50$ , $y = 20$ .

The point of intersection represents the solution found analytically and represents the scenario in which the <em>same</em> quantity of adults and children assisted to both shows.

<h2>Procedure - Determination of the number of people assisting to a movie</h2><h2 /><h3>Construction of the system of equations</h3><h3 />

In this question we need to construct a linear function for the total of people that assisted to the evening show and for the total of people that assisted to the afternoon matinee. The system of equations is described below:

Evening show

$5\cdot x + 15\cdot y = 550$ (1)

Afternoon matinee

$2\cdot x + 5\cdot y = 200$ (2)

Where:

$x$ - Number of children that assisted.
$y$ - Number of adults that assisted.

<h3>Resolution of the system of equations and analysis of the results</h3><h3 />

By algebraic means we find the following result associated with the system of equations:

$x = 50$ , $y = 20$ $\blacksquare$

The graphic representation of this system is described in the image attached below.

The point of intersection represents the solution found analytically and represents the scenario in which the <em>same</em> quantity of adults and children assisted to both shows. $\blacksquare$

To learn more on systems of linear equations, we kindly invite to check this verified question: brainly.com/question/20379472