Pumpkin pie

Have some pumpkin pie. One half of the pie is cut into 4 equal slices, the other half is cut into 3 equal slices. After eating one of the larger slices (on the 3 piece side), I wonder if I will eat more if I have one more from the 3 side, or two from the 4 side…

Correct answer:

e₁ =  0.1667
e₂ =  0.25
x =  4

Step-by-step explanation:

$e_1={\displaystyle \frac{1}{2}}\cdot {\displaystyle \frac{1}{3}}={\displaystyle \frac{1}{6}}=0.1667$

$e_2={\displaystyle \frac{1}{2}}\cdot {\displaystyle \frac{2}{4}}={\displaystyle \frac{1}{4}}=0.25$

$$\begin{gathered} e_2>e_1 \\ x=4 \end{gathered}$$

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