A youth group and their leaders visited a museum. Three adults and six students in one van paid $102 for their admission. Two adults and seven students paid $95 for their admission. Marcus wrote a system of linear equations to find the price for each adult and student. He found that each student ticket was $12 and each adult ticket was $9. Is Marcus correct? Explain. A. Yes. He set up and solved the system of equations correctly.
B. No, Marcus did not write the system of equations correctly. Each adult ticket was $16 and each student ticket is $9.
C. No, Marcus switched the variables at the end. Each adult ticket was $12 and each student ticket is $9.
D. No, Marcus solved the system of equations incorrectly. Each adult ticket was $9 and each student ticket is $16.