There are 2 types of tickets to attend an awards 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 S.
The price of a gold ticket is S+8.
Patrick bought 10 silver tickets and 10 gold tickets, so he spent a total of 10S+10(S+8)=140 dollars.
Simplifying the expression, we get 20S+80=140.
Subtracting 80 from both sides, we get 20S=60.
Dividing both sides by 20, we get S=3 dollars.
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{3, 11}.