Question

The population of a town is 160000. If the males increase by 6% and the females by 10%, the total population will increase to 172000. Find the number of females.

Answer 1

this is your answer of your question

Answer 2

Answer:

The number of females are 60000.

Step-by-step explanation:

Let us assume that the number of male is represented by x.

Let us assume that the number of female is represented by y .

As given

The population of a town is 160000.

Equation becomes

x + y = 160000

If the males increase by 6% and the females by 10%, the total population will increase to 172000.

6% is written in the decimal form .

$= \frac{6}{100}$

= 0.06

10% is written in the decimal form .

$= \frac{10}{100}$

= 0.10

Equation becomes

Increase in number of males + Increase in number of females = Increase in total population .

1.06x + 1.10y = 172000

Two equation becomes

x + y = 160000

1.06x + 1.10y = 172000

x = 160000 - y Putting in the equation 1.06x + 1.10y = 172000 .

1.06 × (160000 - y) +  1.10y  = 172000

169600 - 1.06y + 1.10y = 172000

0.04y = 172000 - 169600

0.04y = 2400

$y = \frac{2400}{0.04}$

y = 60000

Therefore the number of females are 60000 .