There are 2 types of tickets to attend an awards show dinner - silver and gold. The gold tickets are $8 more than the silver. If Patrick bought 10 tickets at each level and spent a total of $140, find the price of each ticket.
Let's assume the price of a silver ticket is x.
Therefore, the price of a gold ticket is x + $8.
Patrick bought 10 silver tickets, so the total cost of silver tickets is 10x.
Patrick also bought 10 gold tickets, so the total cost of gold tickets is 10(x+8).
The total cost of the tickets is $140, so we have the equation:
10x + 10(x+8) = $140
Expanding the equation:
10x + 10x + 80 = $140
Combining like terms:
20x + 80 = $140
Subtracting 80 from both sides of the equation:
20x = $60
Dividing by 20:
x = $3
Therefore, the price of a silver ticket is $3 and the price of a gold ticket is $3 + $8 = $<<3+8=11>>11. Answer: \boxed{silver = $3, gold = $11}.