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.