The cost of attending an amusement park is $15 for children and $40 for adults. On a particular day, the attendance at the amusement park is 5,000 attendees, and the total money earned by the park is $100,000. Use the given matrix equation to solve for the number of children’s tickets sold. Explain the steps that you took to solve this problem. A matrix with 2 rows and 2 columns, where row 1 is 1 and 1 and row 2 is 15 and 40, is multiplied by matrix with 2 rows and 1 column, where row 1 is c and row 2 is a, equals a matrix with 2 rows and 1 column, where row 1 is 5,000 and row 2 is 100,000.


  1. With a system of equations, it is found that there were 4,000 children tickets sold.

    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.
    For this problem, the variables are given by:
    • Variable x: Number of children tickets sold.
    • Variable y: Number of adult tickets sold.
    From the matrices, and the data given, the equations are:
    • x + y = 5000 -> y = 5000 – x.
    • 15x + 40y = 100000.
    Replacing the second equation into the first:
    15x + 40(5000 – x) = 100000
    25x = 100000
    x = 100000/25
    x = 4000.
    There were 4,000 children tickets sold.
    More can be learned about a system of equations at


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