Question 1139127: The Ratio of men:women:children living in Outapi is 6:7:3. There are 42 000 women
1.1 how many people altogether live in Outapi?
1.2 How many Children Live in Outapi?
Answer by Theo(13342)   (Show Source):
You can put this solution on YOUR website! the ratio of men to women to children is 6:7:3.
this means that, out of a total of every 16 people, 6 are men, 7 are women, 3 are children.
there are 42,000 women.
if the ratio of men to women is 6:7, this means that 6/7 = x/42,000.
x represents the number of men in this ratio.
cross multiply to get 6 * 42,000 = 7 * x
solve for x to get x = 6 * 42,000 / 7 = 36,000.
if the ratio of women to children is 7:3, this means that 7/3 = 42,000 / x.
x represents the number of children in this ratio.
cross multiply to get 7 * x = 3 * 42,000
solve for x to get x = 3 * 42,000 / 7 = 18,000.
we now know that there are 36,000 men and 42,000 women and 18,000 children.
the ratio of men to women is 36,000 / 42,000 = 36 / 42 = 6 / 7.
the ratio of women to children is 42,000 / 18,000 = 42 / 18 = 7 / 3.
the ratio of men to children is 36,000 / 18,000 = 36 / 18 = 6 / 3.
the total of people is 36,000 men and 42,000 women and 18,000 children = 96,000.
the ratio of 6:7:3 means that, out of every 16 people, 6 are men and 7 are women and 3 are children.
divide 96,000 by 16 to get 6000.
there 6000 sets of 16 people in a total of 96,000 people.
each of these sets has 6 men and 7 women and 3 chldren.
6,000 * 6 = 36,000 men.
6,000 * 7 = 42,000 women.
6,000 * 3 = 18,000 children.
the ratios hold.
another way to look at it is that there are 6 men for every 16 people, so the ratio of men to the total is 6/16, and the number of men total is 6/16 * 96,000 = 36,000.
likewise, there are 7 women for every 16 people, so the ratio of women to the total is 7/16, and the number of women total is 7/16 * 96,000 = 42,000.
likewise, there are 3 children for every 16 people, so the ratio of children to the total is 3/16, and the number of children total is 3/16 * 96,000 = 18,000.
any questions, email dtheophilis@gmail.com
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