Question

For a trip, one high school rented and filled 8 vans and 9 buses with 228 students. Another high school instead fit it's 124 students in 4 vans and 5 buses. With each bus and van seating the same number of students, how many students can a bus carry? How many students can a van carry?

Answer 1

8v + 9b = 228
4v + 5b = 124....multiply by -2
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8v + 9b = 228
-8v - 10b = - 248 (result of multiplying by -2)
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-b = - 20
b = 20 <=== each bus holds 20 students

4v + 5b = 124
4v + 5(20) = 124
4v + 100 = 124
4v = 124 - 100
4v = 24
v = 24/4
v = 6 <=== each van holds 6 students