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The senior classes at High School A and High School B planned separate trips to the indoor climbing gym. The senio class at High School A rented and filled 2 vans and 2 buses with 106 High School B rented and filled 8 vans and i bus with 151 students. Each van and students. each bus carried the same number of students. How many students can a van carry? How many students can a bus carry?

1 Answer

1 vote
let x person in 1 van and y persons in 1 bus
so for school A took 2x+2y=106
for school B took 8x+y=151

make a system

\left \{ {{2x+2y=106} \atop {8x+y=151}} \right.
solve it:
multiply second equation by 2
2*8x+2*y=2*151
16x+2y=302

second equation minus first we have:
16x+2y-2x-2y=302-106
14x=196
x=14 - persons in 1 van

to find y put x=14 in equation:
2x+2y=106
2*14+2y=106
2y=106-28
2y=78
y=39
Answer: 1 van can carry 14persons, 1 bus can carry 39 persons







User Trevor Clarke
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