SOLUTION: High School A rented and filled 8 vans and 8 buses with 240 students. High School B rented and filled 4 vans and 1 bus with 54 students. Every van had the same number students in i

Question 131765: High School A rented and filled 8 vans and 8 buses with 240 students. High School B rented and filled 4 vans and 1 bus with 54 students. Every van had the same number students in it as did the buses. Find the number of students in each van and each bus.
Answer by checkley71(8403) (Show Source): You can put this solution on YOUR website!
8V+8B=240
4V+1B=54 OR B=54-4V
NOW REPLACE B IN THE OTHER EQUATUION WITH (54-4V) & SOLVE FOR V
8V+8(54-4V)=240
8V+432-32V=240
-24V=240-432
-24V=-192
V=-192/-24
V=8 STUDENTS PER VAN.
4*8+B=54
32+B=54
B=54-32
B=22 STUDENTS PER BUS.PROOF:
8*8+8*22=240
64+176=240
240=249
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