SOLUTION: 1)The senior classes at High School A and High School B planned separate trips to the local amusement park. The senior class at High School A rented and filled 2 vans and 12 buses

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Question 1091816: 1)The senior classes at High School A and High School B planned separate trips to the local
amusement park. The senior class at High School A rented and filled 2 vans and 12 buses with 520
students. High School B rented and filled 13 vans and 3 buses with 230 students. Every van had the
same number of students in it as did the buses. How many students can a van carry? How many
students can a bus carry?

Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
V=Van, B=Bus
2V+12B=520
13V+3B=230
multiply second by -4 and add the two.
-52V-12B=-920
-50V=-400
V=8
substitute into first, where 16+12B=520; 12B=504, and B=42
check in second where 13(8)+3(42)=230
van 8
bus 42