SOLUTION: The senior classes at High School A and High School B planned separate trips to the county fair. The senior class at High School A rented and filled 2 vans and 12 buses with 622

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Question 1073162: The senior classes at High School A and High School B planned separate trips to the county fair.
The senior class at High School A rented and filled 2 vans and 12 buses with 622 students. High
School B rented and filled 8 vans and 8 buses with 528 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 Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
2V+12B=622
8V+8B=528
multiply top by -4 and add
-8V-48B=-2488
-40B=-1960
B=49
2V+588=622
2V=34
V=17
check with second
8(17)+8(49)=136+392=528
Bus=49 people
Van=17 people