Answer:
Step-by-step explanation:
Use cosine:
We have:
Substitute:
<em>cross multiply</em>
<em>divide both sides by 9063</em>
2x + y = 1
2x - 2x + y = 1 - 2x
y = 1 - 2x
y = -2x + 1
4x + 2y = -1
4x + 2(-2x + 1) = -1
4x + 2(-2x) + 2(1) = -1
4x - 4x + 2 = -1
2 ≠ -1
The solution of the problem can't be a solution because they are both parallel lines, which means they have no solution.
According to the characteristics of <em>ticket</em> sales and the resulting system of linear equations we find that 122 children bought each one a ticket on Sunday.
<h3>How many children went to the movie theatre?</h3>
In this question we have a <em>word</em> problem, whose information must be translated into <em>algebraic</em> expressions to find a solution. Let be x and y the number of children and adults that went to the movie theatre, respectively.
We need two <em>linear</em> equations, one for the number of people assisting to the theatre and another for the total sales:
x - 4 · y = 0 (1)
6.30 · x + 9.50 · y = 1063.20 (2)
By algebraic procedures the solution to this system is: x = 122.559, y = 30.639. Since the number of tickets sold are integers, then we truncate each result: x = 122, y = 30.
According to the characteristics of <em>ticket</em> sales and the resulting system of linear equations we find that 122 children bought each one a ticket on Sunday.
To learn on systems of linear equations: brainly.com/question/27664510
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