The senior class at high school A and high school B planned separate trips to New York City. The senior class at high school A rented and filled 1 van and 6 buses with 372 students. High school B rented and filled 4 vans and 12 buses with 780 students. Each van and each bus carried the same number of students. How many students can a van carry? How many students can a bus carry?

Question

lilg132 · Answer

372 = V + 6B
780 = 4V + 12B

372 - 6B = V

780 = 372 - 6B + 12B
780 - 372 = -6B + 12B

408 = 6B

408 / 6 = 6B / 6

68 = B

ONE BUS CARRIES 68 PEOPLE

NOW TO WORK OUT HOW MUCH ONE VAN DOES

372 = V + 6B
780 = 4V + 12B

372 - V = 6B

780 = 4V + 372 - V

780 - 372 = 4V - V

408 = 3V

408 / 3 = 3V / 3

136 = V

ONE VAN CARRIES 136 PEOPLE

V = VAN     B = BUS

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