Question

A fruitseller sells half of his fruits plus 4 oranges. Again, he sells half of what remains plus 4 oranges. And so again a third time. He has now no fruits left. How many fruit did he start with?

Answer 1

let the fruitseller started with x fruits.
so, for the first time,
he sold (x/2+4) fruits.
so, remaining fruits = x/2 -4.
so, for the second time,
he sold (x/2 - 4)/2+4 fruits.
= x/4 - 2 +4 fruits.
= x/4 +2 fruits.
so, remaining fruits =x/2 -4 -x/4 -2
=x/4 -6
so, x/4 -6 =0
=>x=24.
so, the fruitseller had 24 fruits atfirst.

Answer 2

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