On Halloween, $35$ children walked into the principal's office asking for candy. They can be classified into three types: Some always lie; some always tell the truth; and some alternately lie and tell the truth. The alternaters arbitrarily choose their first response, either a lie or the truth, but each subsequent statement has the opposite truth value from its predecessor. The principal asked everyone the same three questions in this order.

"Are you a truth-teller?" The principal gave a piece of candy to each of the $25$ children who answered yes.

"Are you an alternater?" The principal gave a piece of candy to each of the $16$ children who answered yes.

"Are you a liar?" The principal gave a piece of candy to each of the $8$ children who answered yes.

How many pieces of candy in all did the principal give to the children who always tell the truth?