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Let t be the price of an adult ticket.
Since the child tickets were $5 less than the adult tickets, the price of a child ticket is t - 5.
Denny bought 3 child tickets, so he spent a total of 3 * (t - 5) = 45 on child tickets.
Thus, the equation that can be used to find the price of an adult ticket is 3 * (t - 5) = 45.