Joshua was taking a trip to an amusement park with his family. To get his family in, his parents had to purchase two adult tickets, one child ticket, and one toddler ticket. The cost of an adult ticket was $45.50. A child ticket was 8/10 of the price of an adult ticket, and a toddler ticket was 2/5 of the price of an adult ticket. How much was the child ticket?
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