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

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

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