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
Let the price of a silver ticket be $x.
Then the price of a gold ticket is $x + $8.
Patrick bought 10 silver tickets, so the total cost of silver tickets is 10x.
He also bought 10 gold tickets, so the total cost of gold tickets is 10(x + $8).
The total cost of all the tickets is $140, so we can write the equation:
10x + 10(x + $8) = $140
Simplifying the equation:
10x + 10x + $80 = $140
20x + $80 = $140
20x = $60
x = $60/20
x = $3
Therefore, the price of each silver ticket is $3 and the price of each gold ticket is $3 + $8 = $11. Answer: \boxed{3}.