### Brain Teasers

# Little Choc

Math
Math brain teasers require computations to solve.

There are two cakes for Little Choc's birthday party. One of them is Chocolate (C), the other Vanilla (V). Little Choc and his 7 other guests will each get one slice of C and one slice of V.

Since Little Choc loooves chocolate, and it is his birthday, he proposes a slight change: rather than dividing each cake into 8 slices, divide C into 9 slices, and V into 7. This way Choc can have two C slices, and his guests can still have one slice from each cake.

His guests do not mind eating more of vanilla than chocolate. Being very health-conscious, though, they would mind eating more calories than they would have under the original plan.

So, assuming that both cakes are equal in their total number and distribution of calories, will the guests end up eating more calories under Choc's proposal or not?

Since Little Choc loooves chocolate, and it is his birthday, he proposes a slight change: rather than dividing each cake into 8 slices, divide C into 9 slices, and V into 7. This way Choc can have two C slices, and his guests can still have one slice from each cake.

His guests do not mind eating more of vanilla than chocolate. Being very health-conscious, though, they would mind eating more calories than they would have under the original plan.

So, assuming that both cakes are equal in their total number and distribution of calories, will the guests end up eating more calories under Choc's proposal or not?

### Answer

YES, unfortunately for Choc and his guests, his scheme would result in a bit more calories for the guests than the original one. What each would eat now (1/7 + 1/9) is more than what they would have eaten (1/8 + 1/8).Hide Answer Show Answer

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