Write a system of equations for the following scenario. Then solve the system using matrices. 10) Samantha is supposed to buy movie tickets for a large group of people. She was given $580 to
cover the cost of the tickets, but she doesn't remember how many of each type of ticket to buy. She
remembers that there are 74 people total going to the movie. She also remembers that the number of
adults is equal to the sum of the number of students and children. If each adult ticket costs $9, each
student ticket costs $7, and each child ticket costs $6, how many of each ticket does Samantha need
to buy? Write the original equation, the matrices you are using and the final answer with labels
for full credit!