40% of the population of a town are men, 48% are women and the remaining are children. If the number of children is 19,440, find the number of women and men.
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Given:
Total population of men = 40%
Total population of Women = 48%
Number of children = 19,440
To Find:
Number of men and women
Solution:
Percentage of children = 100− (40+ 48)
= 100 - 88
= 12%
Population of children = x of 12%
Thus,
19440 = x of 12%
= 19440 x 100/12
= 162000
Total population = 162000
Now,
Population of men = 162000 x 40%
= 162000 x 40/100
= 64800
Population of Women = 162000 x 48%
= 162000 x 48/100
= 77760
Answer: Population of men is 64800 and women is 77760.
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