Jack, Amin and Yuxin shared a sum of money in the ratio of 4:5:6. Jack spent 1/2 of the amount of money Amin and Yuxin spent. Amin spent 30% of his money and Yuxin spent 1/6 of her money. Amin had $120 less than Yuxin in the end. (a) How much money did the three of them have altogether at first?
(b) What was the percentage decrease in Jack's money?
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