SOLUTION: The senior class at high school a rented and filled 6 vans and 7 buses with 394 students. High school b rented 4 vans and 14 buses with 692 students. Every van had the same number

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Question 1004425: The senior class at high school a rented and filled 6 vans and 7 buses with 394 students. High school b rented 4 vans and 14 buses with 692 students. Every van had the same number of students in it as it did in the buses. Find the number of students in each van and in each bus.
Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
x=vans
y=buses
6x+7y=394
4x+14y=692
-12x-14y=-788, multiplying the first by (-2)
-8x=-96
x=12 students in each van
72=7y=394
7y=322
y=46 students in each bus
check with second equation
48+644=692.