Problem

2025 Cayley Problem 14

Yesterday, 200 people bought ice cream at the Cayley Creamery.

A total of 85 people ordered fudge with their ice cream.

A total of 60 people ordered sprinkles with their ice cream.

A total of 32 people ordered both fudge and sprinkles.

How many of the 200 people ordered neither fudge nor sprinkles?

\textbf{(A)}\ 23\quad \textbf{(B)}\ 55\quad \textbf{(C)}\ 87\quad \textbf{(D)}\ 113\quad \textbf{(E)}\ 168

If there are no answer choices shown, enter a numerical answer.


Full credit to this problem is given to the CEMC, you may view all Cayley contests here.


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