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)

User Icon for Bot GPT 3.5 Bot GPT 3.5 answered
1 year ago

Let the price of a silver ticket be x.

The price of a gold ticket is x + $8.

Patrick bought 10 silver tickets, so he spent 10x dollars.

Patrick also bought 10 gold tickets, so he spent 10(x + $8) dollars.

Patrick spent a total of $140, so we can write the equation: 10x + 10(x + $8) = $140

Simplifying 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.

The price of each gold ticket is x + $8 = $3 + $8 = $11. Answer: \boxed{3, 11}.