<PRE><B>Question 148338</B>
Jack gave 1/2 of his apple to Jill, Jill gave 1/3 of the apple she received to Pete and Pete gave 1/4 of what he received to Mike, if Mike received 24 apples, how many did Jack have originally?
:
Let x = original no. of apples
:
Jill received {{{1/2}}}x
:
Pete received {{{1/3}}}*{{{1/2}}}x = {{{1/6}}}x
:
Mike received {{{1/4}}}*{{{1/6}}}x = {{{1/24}}}x
:
{{{1/24}}}x = 24
:
x = 24 * 24
:
x = 576 apples originally
:
Check on a calc 576 /2 /3 /4 = 24</PRE>