Question

The senior class at high school A rented and filled 3 vans and 6 buses with 306 students. High school B rented and filled 1 van and 3 buses wit 144 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.

Answer 1

8 students in each van ~ 22 in each bus

Explanation:

- Equations:

8v + 8b = 240

4v + b = 54

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- Modify:

8v + 8b = 240

8v + 2b = 108

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- Subtract and solve for "b":

6b = 132

b = 22 (# of students in each bus)

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- Solve for "v":

4v + b = 54

4v + 22 = 54

4v = 32

v = 8 (# of students in each van)