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Movie tickets at the local theater cost $9 for matinee showings and $13.50 for prime-time
showings. If the total number of tickets the theater sold on a particular day was 1,411 and $17,149.50
was collected, how many matinee and how many prime-time movie tickets were sold that day?

Respuesta :

The number of many matinee and prime-time movie tickets were sold that day are

What is defined as the linear equation in two variables?

A linear equation in two variables is one that is written in the form ax + by + c = 0, where a, b, and c are real numbers and also the coefficients of x and y, i.e. a and b, are not equal to zero.

  • If there is only one solution, the given lines are intersecting;
  • if no solution is possible, the given equations have been of parallel lines.
  • If there are an infinite number of solutions, it means that given equations form coincident lines.

For the given question.

Let 'x' be the number of matinee showings.

Let 'y' be the number of prime-time showings.

Then. the total ticket sold are 1,411.

Thus, x + y = 1,411.

or, x = 1,411 - y

The cost of one matinee showings is $9.

The cost of one prime-time showings is $13.50.

Now, the total cost earned is $17,149.50.

So,

9x + 13.5y = 17,149.50

Put the value of the 'x' in the above equation.

9(1,411 - y) + 13.5y = 17,149.50

Simplifying;

12699 - 9y + 13.5y = 17,149.50

4.5y = 4450.5

y = 989.

Calculate x;

x = 1,411 - 989

x = 422

Therefore, the number of matinee and prime-time movie tickets were sold that day are 422 and 989.

To know more about linear equation in two variables, here

https://brainly.com/question/13951177

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