There are three bakers: Alice, Bob, and Charlie. Each baker has baked a delicious cake, but unfortunately, they've all mixed up the labels! You know the following:
Alice cannot bake a chocolate cake.
Bob never wins first prize.
The winner's cake is not vanilla.
Can you determine which baker made each cake (chocolate, vanilla, and red velvet) and who won the competition?
Solution:
Alice: Since Alice can't bake chocolate, she must have made either vanilla or red velvet.
Bob: We know Bob never wins first prize, so his cake can't be the winner's cake (not vanilla). This leaves him with either chocolate or red velvet.
Winner's Cake: The winner's cake is not vanilla, so it must be red velvet.
Now we can put the pieces together:
Alice: Made the vanilla cake (since she can't bake chocolate).
Bob: Made the chocolate cake (since the winner's cake is red velvet).
Winner: Charlie (since Bob can't win and Alice didn't make the winning red velvet cake).
Therefore, Charlie is the winner with the red velvet cake, Alice baked the vanilla cake, and Bob made the chocolate cake.
