Braingle: 'The Last Piece' Brain Teaser

The Last Piece

Math brain teasers require computations to solve.

Puzzle ID:	#14986
Fun:	(2.74)
Difficulty:	(1.35)
Category:	Math
Submitted By:	jess1118

Mom bakes a cake. Dad ate 1/6 of the cake. Brother ate 1/5 of what was left. Then sister had 1/4 of the remaining cake. After that the dog ate 1/3 of the remaining cake, and finally another kid ate 1/2 of what was left after the dog was finished. What fraction of the whole cake is left for mom to eat?

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Comments

avril_lavigne Oct 10, 2003	HOW could another kid eat 1 half of a cake gee he is a pig!
just_moi Oct 10, 2003	he ate half of what was LEFT... sice there were only 2 pieces left he ended eating one piece
Gerd Oct 13, 2003	It's funny that they all got the same amount of the cake. Nice!
howdyall1311 Oct 18, 2003	Easy...but good
mrazmerized Oct 21, 2003	Great teaser it as kinda easy but I Luved doing it
catsclutter Oct 22, 2003	good one, my class liked it too! I do think it's kinda nasty that the second kid and the mom ate theirs "after the dog was finished"
canu Jul 10, 2004	If it had been a normal dog and if it liked the cake at all, it would not have left anything for anyone else. Otherwise there's nothing wrong with letting the dog eat before some humans, as long as the dog uses a fork and the cake stays on the plate.
javaguru Jan 27, 2009	Nice teaser. Silly me, I didn't see the obvious answer immediately, but it still solved easily in my head: 5/6 * 4/5 * 3/4 * 2/3 * 1/2 cancels out the 5s, 4s, 3s and 2s leaving 1/6.
calmsavior Oct 21, 2009	too easy.