Coach Roberts ordered 16 trophies from the Finish Line sports shop to give to each player at the end of the season. Since this was a bulk order, Finish Line reduced the price of each trophy by $\$ 3$. Coach Roberts paid $\$ 152$ in all. How much does Finish Line normally charge for a trophy?
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Step 1 ：Let's denote the original price of a trophy as \(x\), the discount per trophy as \(d\), the number of trophies as \(n\), and the total cost as \(T\).

Step 2 ：We know that the discount per trophy \(d = 3\), the number of trophies \(n = 16\), and the total cost \(T = 152\).

Step 3 ：The discounted price per trophy is \(T/n\), and since the discount was \(d\), the original price was \(T/n + d\).

Step 4 ：Calculate the discounted price per trophy: \(T/n = 152/16 = 9.5\).

Step 5 ：Add the discount to the discounted price to find the original price: \(9.5 + 3 = 12.5\).

Step 6 ：Final Answer: The original price of a trophy is \(\boxed{12.5}\) dollars.