SOLUTION: Five elves made four identical cakes, each weighing 600 grams. They want to split them up equally, but according to elf tradition, they can each take only three pieces of cake (no

Question 1134363: Five elves made four identical cakes, each weighing 600 grams. They want to split them up equally, but according to elf tradition, they can each take only three pieces of cake (no matter how big a piece is). After a few minutes, the elves figure out how to split all of the cakes. Each elf gets a half of a cake, a quarter of a cake, and one more piece. How much does the smallest piece of cake weigh?
Answer by Boreal(15235) (Show Source): You can put this solution on YOUR website!
there are 2400 gms of cake and 5 elves, so each one gets 480 gms.
1/2 a cake is 300 gms
1/4 is 150 gms
the missing fraction works out to be 30 gms.
The smallest piece is 30 gms.. My eyes were not good. Sorry!\
Another way is that 5 elves get 4 cakes, so each gets 4/5 of a cake
They got 1/2 and 1/4, so that is 75%. They need 5% more to make 80%, which is 4/5
5% of 600 is 30
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