There are 2 types of tickets to attend an awards dinner---silver and gold. The gold tickets are $8 more than the sliver. If Patrick bought 10 tickets at each level and spent a total of $140, find the price of each ticket
Let's represent the price of a silver ticket as x.
Since the gold tickets are $8 more than the silver tickets, the price of a gold ticket is x + $8.
Patrick bought 10 silver tickets, so he spent 10 * x dollars.
Patrick also bought 10 gold tickets, so he spent 10 * (x + $8) dollars.
The total amount Patrick spent is 10 * x + 10 * (x + $8).
This total amount is equal to $140, so we can write the equation 10 * x + 10 * (x + $8) = $140.
Expanding the equation gives 10 * x + 10 * x + 80 = $140.
Combining like terms gives 20 * x + 80 = $140.
Subtracting 80 from both sides gives 20 * x = $60.
Dividing both sides by 20 gives x = $3.
Since x represents the price of a silver ticket, the price of a silver ticket is $3.
The price of a gold ticket is x + $8 = $3 + $8 = $11.
Therefore, the price of each ticket is $3 for a silver ticket and $11 for a gold ticket. Answer: \boxed{3, 11}.