SOLUTION: there are 35% women and 25% children in a village.If there are 256000 men,find the total population of the village.

Algebra ->  Percentage-and-ratio-word-problems -> SOLUTION: there are 35% women and 25% children in a village.If there are 256000 men,find the total population of the village.       Log On


   



Question 1000238: there are 35% women and 25% children in a village.If there are 256000 men,find the total population of the village.

Answer by Theo(13342) About Me  (Show Source):
You can put this solution on YOUR website!
35% women and 25% children is a total of 60%.
that 100% - 60% = 40%

40% of the population is men.
there are 256000 men.
let x number of people in the population.
40% of x = .4 * x = number of men.
.4 * x = 256000.
divide both sides of this equation by .4 to get:
x = 256000 / .4
solve for x to get x = 640000
there are 640000 people in the population.

35% of 640000 = .35 * 640000 = 224000 women.
25% of 640000 = .25 * 640000 = 160000 children.
40% of 640000 = .40 * 640000 = 256000 men.

total population is 224000 + 160000 + 256000 = 640000
solution is confirmed.

the number of people in the population is 640,000.