A bag of marbles had 30 yellow marbles and the rest were white. For a game, 35 of the 30 yellow marbles were chosen, and 23 of the white marbles were also chosen. Use this information to answer the questions below.

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(a) How many marbles were in the bag before the game?
(b) How many of the bag's marbles were not chosen?
(c) How many of the bag's marbles were chosen?