PUZZLOR

Crazy cake

John Toczek
puzzlor@gmail.com

Figure 1: Cut the cake: Make sure everyone gets an equal share.

Figure 1: Cut the cake: Make sure everyone gets an equal share.

It’s your birthday. Four of your closest friends are with you to help you celebrate. Unfortunately, as a joke, one of your friends has cut the cake into 15 different pieces each of varying sizes. The weights of the slices are as follows (in grams): 18, 48, 19, 59, 46, 72, 67, 57, 49, 80, 50, 69, 10, 48 and 83.

Question:
How can you pass out all of the slices of cake so that everyone gets an equal amount among the five of you?

Send your answer to puzzlor@gmail.com by Feb. 15, 2016. The winner, chosen randomly from correct answers, will receive a $25 Amazon Gift Card. Past questions and answers can be found at puzzlor.com.

John Toczek is the assistant vice president of predictive modeling at Ace Group in the Decision Analytics and Predictive Modeling department. He earned his BSc. in chemical engineering at Drexel University (1996) and his MSc. in operations research from Virginia Commonwealth University (2005).