In a village, 5/8 of the population is adults, 1/2 of the adults are male, and 4/5 of adult females are illiterate. If 400 adult females are illiterate, what is the population of the village?

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Answer 1 · 2017-10-11T03:28:22

#1600# people

Since #1/2# of the adults are male that means #1/2# of the population is female.

So #5/8*1/2=5/16# of the total population are adult females.

And #4/5# of those adult females are illiterate so:

#5/16*4/5=20/80=1/4#

Since #400# adult females are illiterate, then:

#1/4=400/x# where #x=#total population

Thus #x=1600# total people.