SOLUTION: Jack gave 1/2 of her apple to Jill, Jill gave 1/3 of the apple he received to Pete and Pete gave 1/4 of what he received to Mike, if Mike received 24 apples, how many did Jack heve

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Question 148338: Jack gave 1/2 of her apple to Jill, Jill gave 1/3 of the apple he received to Pete and Pete gave 1/4 of what he received to Mike, if Mike received 24 apples, how many did Jack heve originally?
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
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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%2F2x
:
Pete received 1%2F3*1%2F2x = 1%2F6x
:
Mike received 1%2F4*1%2F6x = 1%2F24x
:
1%2F24x = 24
:
x = 24 * 24
:
x = 576 apples originally
:
Check on a calc 576 /2 /3 /4 = 24