Question

The population of a village is 6400. If the number of males increased by 40% and that of females increased by 30%, the population becomes 8380. Find the population of females in the town

Answer 1

there will be 2514 women in the village

Answer 2

The number of females are 5800

Step-by-step explanation:

The population of a village is 6400.

Let x be the number of males and y be the number of females

So,x+y = 6400

x=6400-y

The number of males increased by 40%

Number of males =$x+40\%x=x+0.4x=1.4x$

Number of females = $y+30\%y=y+0.3y=1.3y$

The number of males increased by 40% and that of females increased by 30%, the population becomes 8380.

$1.4x+1.3y=8380\\1.4(6400-y)+1.3y=8380\\8960-1.4y+1.3y=8380\\8960-0.1y= 8380\\8960-8380=0.1y\\\frac{8960-8380}{0.1}=y\\5800=y$

Hence the number of females are 5800

#Learn more:

The population of a village is 5500. if the number of males increases by 11% and the number of females increases by 20%, then the population becomes 6330. find the population of females in the town.

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