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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 14 vans and 9 buses with 310 students. High School B rented and filled 2 vans and 8 buses with 192 students. Every van had the same number of students in it as did the buses. Find the number of students in each van and in each bus.
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Answer:
13v + 9b = 646
6v + 3v = 237
If we multiply the bottom equation by -3, we get - 9v to cancel out.
13v + 9b = 646
-18v - 9b = -711
-5v = -65
v = 13 students
13(13) + 9b = 646
169 + 9b = 646
9b = 477
b = 53 students
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