Question

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. quangkhai
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  https://brainly.com/question/24342899
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