SOLUTION: 45) Distribute 6000 items among 2 girls, 5 boys and 3 men in such a way that a boy will get twice the items a girl gets and a men will get thrice of what a boy gets. How many ite

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Question 1063150: 45) Distribute 6000 items among 2 girls, 5 boys and 3 men in such a way that a boy will get twice the items a girl gets and a men will get thrice of what a boy gets. How many items 2 men will get?
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
2G%2B5B%2B3M=6000
B=2G
M=3B
So,
G=B%2F2
Substituting,
2%28B%2F2%29%2B5B%2B3%283B%29=6000
B%2B5B%2B9B=6000
15B=6000
B=400
So,
G=400%2F2
G=200
and
M=3%28400%29
M=1200
So 2 men will get,
2M=2400