The population of a town is 30,000. If the ratio of men and women is 5:3, find the number of men and women
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Answer:
Male population =x
Female population=y
x+y=50,000
y=50,000−x
x increased 5%
y increased 8%
(x+x×5%)+(y+y×8%)=53220
x+
100
5x
+y+
100
8y
=53220
100x+5x+100y+8y=5322000
as y=50,000−x
100x+5x+108(50,000−x)=5322000
105x−108x+5400000=5322000
5400000−5322000=3x
78000=3x
x=26000
y=50,000−x=50,000−26000
y=24000
∴ Male population=26000
Female population=24000
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