Question 224532
In a village, 5/8 of the population are adults, 1/2 of the adults are males, 4/5 of the adult females are illiterate.
 If 400 females are illiterate, then the population of the village is:
:
adults = {{{5/8}}}x
males = {{{1/2}}}*{{{5/8}}}x = {{{5/16}}}x are adult males
since half adults are male, we know
adult females = {{{5/16}}}x also
and
female illiterates:
 {{{4/5}}}* {{{5/16}}}x =  400
{{{20/80}}}x = 400
reduce fraction
{{{1/4}}}x = 400
x = 4(400)
x = 1600 is the population of the village