SOLUTION: The senior classes 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 studen

Algebra ->  Equations -> SOLUTION: The senior classes 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 studen      Log On


   

Question 678315: The senior classes 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?
Answer by checkley79(3341) About Me  (Show Source):
You can put this solution on YOUR website!
1V+6B=372 MULTIPLY BY -4 & ADD
4V+12B=780
-4A-24B=-1488
-------------------
-12B=-708
B=-708/-12
B=59 PEOPLE PER BUS.
1V+6*59=372
1V+354=372
1V=372-354
1V=18 PEOPLE PER VAN.
PROOF:
4*18+12*59=780
72+708=780
780=780