Question 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.(1 point) $ for each silver ticket and $ for each gold ticket

Answer 1

Let's assume the price of a silver ticket is x dollars.
According to the given information, the price of a gold ticket is x + 8 dollars.
Patrick bought 10 silver tickets and 10 gold tickets, so the total cost of silver tickets is 10x dollars and the total cost of gold tickets is 10(x + 8) dollars.
The total cost of all tickets is $140, so we can write the equation:
10x + 10(x + 8) = 140
Expanding the equation, we get:
10x + 10x + 80 = 140
Combining like terms, we get:
20x + 80 = 140
Subtracting 80 from both sides, we get:
20x = 60
Dividing both sides by 20, we get:
x = 3
Therefore, the price of each silver ticket is 3 dollars, and the price of each gold ticket is 3 + 8 = 11 dollars. Answer: \boxed{3} for each silver ticket and \boxed{11} for each gold ticket.