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A school show had ticket sales of $1345 the first night and $935 the second night. 180 student tickets were sold and 110 adult tickets were sold on the first night. 100 student tickets were sold and 90 adult tickets were sold. find the price of a student ticket

Respuesta :

Using a system of equations, it is found that the price of a student ticket is of $3.49.

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.

The variables are given as follows:

  • Variable x: Price of a student ticket.
  • Variable y: Price of an adult ticket.

Considering the revenues and the number of tickets sold, the equations are given as follows:

  • 180x + 110y = 1345.
  • 100x + 90y = 935.

From the second equation:

90y = 935 - 100x

y = (935 - 100x)/90

y = 10.39 - 1.11x

Replacing in the first equation:

180x + 110y = 1345.

180x + 110(10.39 - 1.11x) = 1345

57.9x = 202.1.

x = 202.1/57.9

x = 3.49.

The price of a student ticket is of $3.49.

More can be learned about a system of equations at https://brainly.com/question/24342899

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