SOLUTION: The state fair is a popular field trip destination. This year the senior class at high school A and the senior class at high school b both planned trips there. The senior class at

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Question 1112722: The state fair is a popular field trip destination. This year the senior class at high school A and the senior class at high school b both planned trips there. The senior class at high school a rented and filled 12 vans and 7 buses with 485 students. High school b rented and filled 1 van and 1 bus with 65 students. Each van and each bus carried the same number of students. How many students can a van carry? How many students can a bus carry?
Answer by solver91311(24713) About Me  (Show Source):
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Let represent the number of students that fit in a van and let represent the number of students that fit on a bus. A had 12 vans, so students rode in vans, and 7 busses, so students rode in busses. Therefore, since there were 485 students from A:



Similarly for B:



Solve the system by any convenient means. Either substitution or elimination will work nicely. Gauss-Jordan would probably be overkill, but a good exercise to prepare for more difficult problems.

John

My calculator said it, I believe it, that settles it