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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.

2 Answers

3 votes
B No, marcus did not
User JCQian
by
5.1k points
4 votes

Answer:

B. No, Marcus did not write the system of equations correctly. Each adult ticket was $16 and each student ticket is $9.

Explanation:

If you multiply the adults and students with the cost of the tickets in the first bus you would end up with the equations, 16x3=48 and 6x9= 54. Then you add the totals ($48+$54) and get $102 for the first bus. The next bus's equations would be, 16x2=32 and 9x7=63 then you add the totals ($32+$63) and get $95.

User Dojo
by
5.4k points
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