Pumpkin pie

I have some pumpkin pie. One-half of the pie is cut into four equal slices, and the other half is cut into three equal slices. After eating one of the larger slices (on the three-piece side), I wonder if I will eat more if I have one more from the three sides or two from the four sides.

Correct answer:

e₁ =  1/6
e₂ =  1/4
x =  4

Step-by-step explanation:

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

$e_2=\frac{1}{2}\cdot \frac{2}{4}=\frac{1\cdot 2}{2\cdot 4}=\frac{2}{8}=\frac{1}{4}=0.25$

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

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