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

1 answer

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 he spent 10*x = $10x on silver tickets.
Patrick bought 10 gold tickets, so he spent 10*(x + $8) = $10x + $80 on gold tickets.
The total amount Patrick spent was $140, so we have the equation:
$10x + $10x + $80 = $140
Combining like terms gives:
$20x + $80 = $140
Subtracting $80 from both sides gives:
$20x = $60
Dividing both sides by $20 gives:
x = $3
So the price of a silver ticket is $3 and the price of a gold ticket is $3 + $8 = $11. Answer: \boxed{3, 11}.