Andy was on his way to a marble tournament when he met Bob. Andy's bag of marbles was heavy, so he gave Bob 1/2 of his marbles plus two. Then he met Alex and gave him 1/4 of his remaining marbles plus five. Just before arriving at the tournament, He met Emily and gave her 1/2 of the marbles he had left. When he got to the tournament, he had two marbles left. How many marbles did he start with?

Question

Mathematics

Makena Hood

27 April, 01:26

Andy was on his way to a marble tournament when he met Bob. Andy's bag of marbles was heavy, so he gave Bob 1/2 of his marbles plus two. Then he met Alex and gave him 1/4 of his remaining marbles plus five. Just before arriving at the tournament, He met Emily and gave her 1/2 of the marbles he had left. When he got to the tournament, he had two marbles left. How many marbles did he start with?

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Preston House · Answer 1

Let the total number of marbles be x. marbles remaining after giving to bob is x/2 - 2. again after giving alex he has 3/4 * (x/2-2) - 5 after meeting Emily he has 1/2 * {3/4 * (x/2-2) - 5}Which is equal to 2 ... so the total number of marbles were 28 at the beginning.