Question

The population of a townis 180,000. Out of which males are 1/3 of the population...Find the number of females. Also find the ratio of the number of females to the whole population.

Answer 1

Answer:

120,000 females

females : population = 2:3

Step-by-step explanation:

Let the total population be P = 180,000

Let the number of males be 'm' and females be 'f'

Now, 1/3 of P = m

Thus, 2/3 of P = f, since the remaining should be the females

So, f = 2/3 of P = 2/3 * 180000

f = 2 * 60000

f = 120000

Thus, there are 120,000 females

ii) Ratio of females to the whole population

Now, females are 2/3 of the populations, thus

f:P = 2/3 : 1

f:P = 2:3

Answer 2

Question :

The population of a town is 180,000. Out of which males are 1/3 of the population. Find the number of females. Also, find the ratio of the number of females to the whole population.

Before, finding the answer. Let's find out how we can find the answer.

• First, we have to find 1/3 of the Population; like this :

$\sf Female = \dfrac{1}{3} \times population$

• Then, we must subtract 1/3 of the population from the total population to find the no of Females.
• At last, we must find the ratio of the number of females to the whole population.  

______________________

Given :

• Population = 1,80,000
• Male = 1/3

To find :

• the number of females
• the ratio of the number of females to the whole population.

Solution :

$\sf Male = \dfrac{1}{3} \times population$

           $\sf = \dfrac{1}{3} \times 180000$

           $\sf = \dfrac{180000}{3}$

           $\sf = 60000$

Female = Total Population - Male

             = 180000 - 60000

             = 120000

So, there are 120000 females in the town.

Ratio = Whole Population : Female

         = 120000 : 180000

         = 2000 : 3000  $\left( \sf \dfrac{120000 \div 6 }{180000 \div 6 } = \dfrac{2000}{3000} \right)$

         = 200 : 300 $\left( \sf \dfrac{2000 \div 10}{3000 \div 10 } = \dfrac{200}{300} \right)$

         = 40 : 60 $\left( \sf \dfrac{200 \div 5}{300 \div 5} = \dfrac{40}{60} \right)$

         = 20 : 30 $\left( \sf \dfrac{40 \div 5}{60 \div 5} = \dfrac{20}{30} \right)$

         = 10 : 15 $\left( \sf \dfrac{20 \div 2}{30 \div 2} = \dfrac{10}{15} \right)$

         = 2 : 3 $\left( \sf \dfrac{ 10 \div 5}{15 \div 5} = \dfrac{2}{3} \right)$

Therefore, the ratio of the number of females to the whole population is

2 : 3.