The senior classes at High School A and High School B planned separate trips to Yellowstone
National Park. The senior class at High School A rented and filled 12 vans and 11 buses with 787
students. High School B rented and filled 1 van and 11 buses with 600 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.
Answers
Step-by-step explanation:
Yellowstone national park is a popular field trip destination. This year the senior class 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 7 vans and 14 buses with 504 students. High school B rented and filled 14 vans and 13 buses with 588 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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Equations:
7v + 14b = 504 students
14v + 13b = 588 students
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Modify for elimination::
14v + 28b = 2*504
14v + 13b = 588
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Subtract and solve for "b"::
15b = 420
b = 28 (# of students in each bus)
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Solve for "v"::
7v + 14b = 504
7v + 14*28 = 504
7v = 112
v = 16 (# of students in each van)
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