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There are 3 boxes of balls in a shop.
`1/3` of all the balls in the shop are in Box X and the rest are in Box Y and Box Z.
Box Y and Box Z had 200 balls and 100 balls respectively.
`1/3` of the balls in Box X are sold at $3 each.
`1/2` of the balls in Box Z are sold at $5 each.
`1/4` of the balls in Box Y are sold at $2 each.
How much was collected from the sale of the balls?