Explanation:
The logic is captured in the Karnaugh map of the first attachment. M and D refer to Mom and Dad, respectively, and A and B refer to the children. A logic 1 is a vote for Chicken, 0 is a vote for Hamburger.
The logic in attachment 2 shows an implementation using And and Or gates. The effective equation is ...
chicken = (m·d) + (m+d)·(a+b)
The logic in attachment 3 shows an implementation using an 8-input selector. The dots at the inputs represent inversion, so those inputs to the selector represent a logic 1 (chicken).