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The Local Amateur Soccer Club Spent $1640 on Tickets to a Professional

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The local amateur soccer club spent $1640 on tickets to a professional hockey game. If the club bought 2.5 times as many eight-dollar tickets than the number of twelve-dollar tickets and four fewer fifteen-dollar tickets than 7/10 the number of twelve dollar tickets, how many of each type of ticket did the club buy?

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Let the number of $12 tickets be x.
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