The Cheesecake Problem

Tonya and Melissa want to divide a cheesecake using the divider-chooser method. The cheesecake is half almond and half walnut, and costs a total of $12.00. Tonya likes both almonds and walnuts, but she likes walnuts 3 times as much as almonds. Melissa likes almonds, but hates walnuts.

  1. What is the value of the walnut half of the cheesecake to Tonya?
  1. According to Tonya, what is the value of the piece shown below?

 

 

 

 

  1. What is the value of the same piece to Melissa?
  1. If Melissa is the divider, which of the following represents a fair division, according to Melissa. (The thick lines represent the divisions.)

Answers