Question 1032126: In a village🏠, there are exactly:-
• 10% more boys👔 than girls👗
• 15% more women👩 than men👨
• 20% more children 👦 than adults 👳
How many boys, girls, men, and women are there in the village???
{The population of the village is less than 6000)🎷🎇
Answer by KMST(5328)   (Show Source):
You can put this solution on YOUR website! Regarding the children (boys and girls),
the number of boys is exactly  the number of girls,
and the number of boys and the number of girls should be whole numbers.
So,  = number of girls, and
 = number of boys,
must both be whole numbers.
So would be  = number of children.
The ratio of children to adults is  ,
so the ratio of adults to children is  ,
and the total number of adults is
 .
Among the adults (men and women),
the ratio of number of men to total number of adults is
 , and
the ratio of number of women to total number of adults is
 .
So,
the number of men is  , and
the number of women is  .
The number of women, men, and boys, respectively, are
 ,  , and ,
and they must all be whole numbers,
which means that must be a multiple of
 ,  , and  .
The least common multiple is
 .
The total population would be
 .
With  , the total population would be  .
The next multiple of  ,  ,
would make the total population  .
So, the number of girls is  .
The number of boys is  .
The number of men is  .
The number of women is  .
NOTE:
There is often more than one way to solve a problem.
In real life, the problem solver should choose
a way that is short and comfortable for him/her.
In school, we also need to cater to the teacher's preferences.
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