the ratio between male and female in a city is 3: 7. the children percentage among the males and females of the city is 25 and 30 percent respectively. if the number of adult males in the city is 18000, then find the population of the town?
Answers
then 3X×75÷100=18000
3X×0.75=18000
2.25X=18000
X=18000÷2.25
=8000
pollution of the town 8000×10=80,000
The population of the town is 80,000
Step-by-step explanation:
Given:
the ratio between males and female= 3:7
out of which 25% are male children and 30% are female children
number of adult males is 18000
To find:
total population of the town
Solution:
The ratio of males to females is given as 3:7
We take a common multiple y between that
So, let the number of males and females be 3y & 7y respectively
As we know the total population = males + females
∴ Total population = 3y+7y
∴ Total population = 10y
As we know 25% of the male population includes male children
Hence, the remaining percentage will include the adult males in the population
∴ adult population of males in percentage = 100% - 25%
∴ the adult population of males in percentage =75%
From given, adult males= 75% of the total male population
∴ adult males= 75% of 3y
∴ adult males= 75/100 x 3y
∴ adult males= 3/4 x 3y
∴ adult males= 9y/4
But, that is given in numbers as 18000
∴ 18000 = 9y/4
∴ 18000 x 4 = 9y
∴ 72000 = 9y
∴ 72000 = y
9
∴ y = 8000
lastly, the total population is 10y
So total population of town = 10(8000)
Total population of town = 80,000
Therefore, the total population of the town is 80,000
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