SOLUTION: 40% of the population of Himo town are male. 25% of the male population and 30% of the female population are under 21years. Find the total percentage of people in the Himo town wh

Algebra ->  Percentages: Solvers, Trainers, Word Problems and pie charts -> SOLUTION: 40% of the population of Himo town are male. 25% of the male population and 30% of the female population are under 21years. Find the total percentage of people in the Himo town wh      Log On


   

Question 1191474: 40% of the population of Himo town are male. 25% of the male population and 30% of the female population are under 21years. Find the total percentage of people in the Himo town who are under 21 years
Answer by ikleyn(52792) About Me  (Show Source):
You can put this solution on YOUR website!
.
40% of the population of Himo town are male.
25% of the male population and 30% of the female population are under 21years.
Find the total percentage of people in the Himo town who are under 21 years
~~~~~~~~~~~~~~~ 

Let x be the total population.


The number of male   under 21 years  is 0.4*0.25x.

The number of female under 21 years  is (1-0.4)*0.3x.

The total population under 21 years  is 0.4*0.25x + (1-0.4)*0.3x.



The total percentage of people in the Himo town who are under 21 years is 

    %28%280.4%2A0.25x+%2B+%281-0.4%29%2A0.3x%29%2Fx%29%2A100 = %280.4%2A0.25+%2B+%281-0.4%29%2A0.3%29%2A100 = 28%.    ANSWER

Solved.