SOLUTION: In a group of 132 persons, composed of men, women, and children, there are 3 times as many children as men, and twice as many women as men. How many are there of each?

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Question 232892: In a group of 132 persons, composed of men, women, and children, there are 3 times as many children as men, and twice as many women as men. How many are there of each?
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
In a group of 132 persons, composed of men, women, and children, there are 3 times as many children as men, and twice as many women as men. How many are there of each?
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m + w + c = 132
c = 3m
w = 2m
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Substitute and solve for "m"
m + 2m + 3m = 132
6m = 132
m = 22 (# of men)
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c = 3m = 66 (# of children)
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w = 2m = 44 (# of women)
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Cheers,
Stan H.