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On the opening night of a new movie, a theater sells a total of 510 tickets worth a total of $5,015. Tickets cost $7.50 for children and $11.00 for adults. How many children attended opening night of this movie?
92
170
340
418

Answer :

itisforscience

Let the amount of children tickets be x and the adult tickets be 510-x .

7.5x + 11(510-x) = 5015

x = 170

Answer: 170 Children attended opening night of this movie.

Using a system of equations, it is found that 170 children attended opening night of this movie.

What is a system of equations?

A system of equations is when two or more variables are related, and equations are built to find the values of each variable.

In this problem, the variables are:

  • Variable x: Number of children who attended the opening night.
  • Variable y: Number of adults who attended the opening night.

A total of 510 tickets were sold, hence:

[tex]x + y = 510[/tex]

[tex]y = 510 - x[/tex]

Tickets cost $7.50 for children and $11.00 for adults. A total of $5,015 was sold, hence:

[tex]7.5x + 11y = 5015[/tex]

[tex]7.5x + 11(510 - x) = 5015[/tex]

[tex]3.5x = 595[/tex]

[tex]x = \frac{595}{3.5}[/tex]

[tex]x = 170[/tex]

170 children attended opening night of this movie.

To learn more about system of equations, you can take a look at https://brainly.com/question/24342899

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