At a carnival, $2,941.25 in receipts were taken at the end of the day. The cost of a child's ticket ...

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At a carnival, $2,941.25 in receipts were taken at the end of the day. The cost of a child's ticket was $20.50, an adult ticket was $29.75 and a senior citizen ticket was $15.25. There were twice as many senior citizens as adults and 20 more children than senior citizens. How many of each type of ticket was sold (adult, senior, child)?