A theme park charges $20 for adults and $10 for children. One day the theme park sold 600 tickets and collected $9,600 in revenue. Let x represent the number of adult tickets sold and y represent the number of child tickets sold.

a) Setup the system of equations representing the above situation.

b) Express the system of equations in matrix form AX=B.

c) Using Cramer's Rule on the system of equations, determine how many tickets of each type were sold. Show all work/calculations as if you do not have a calculator. You will not receive full credit if any other method is used to solve the system.

d) How many of each type of ticket were sold on the day in question? Provide your answer using a complete sentence with appropriate units.