


Andy was on his way to a marble tournament when he met Bob. Andy’s bag of marbles was heavy, so he gave Bob one-half of his marbles plus 2. Then he met Alex and gave him one-fourth of his remaining marbles plus 5. Just before arriving at the tournament, he met Emily and gave her one-half of the marbles he had left. When he got to the tournament, he had 2 marbles left. How many marbles did he start with?