The band chosen for the annual spring concert appealed to both the student as well as to the administration.--> appealed to both the student and the administration
"both X and Y" is idiom, and there is no doubt that the correct sentence is above.
But, , " to the student as well as to the administration" in answer page is questionable. "X as well as Y" is 1-part idiom. Isn't "to" in front of the administration redundant? Why "to" should be inserted in front of "the administration"?