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Tickets for admission to a high school football game cost $3 for students and $5 for adults. During one game, $2995 was collected from the sale of 729 tickets.

a. Writing a System. Write and solve a system of linear equations to find the number of tickets sold to students and the number of tickets sold to adults.

b. Drawing a Graph. Graph the system of linear equations. Use the
graph to determine whether your answer to part (a) is reasonable.

Respuesta :

raphealnwobi

The solution to the equation is (325, 404) which is the point of intersection.

Linear equation

A linear equation is in the form:

y = mx + b

where y, x are variables, m is the slope of the line and b is the y intercept.

Let x represent the number of student tickets and y represent the number of adult tickets.

It is given by the equation:

  • x + y = 729    (1)
  • 3x + 5y = 2995   (2)

The solution to the equation is (325, 404) which is the point of intersection.

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