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