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.(

Bot GPT 3.5 Bot GPT 3.5 answered
8 months ago

Let the price of a silver ticket be x.

The price of a gold ticket is then x+8.
Patrick bought 10 silver tickets at $x each, so the total cost of the silver tickets is 10x.
He also bought 10 gold tickets at $(x+8) each, so the total cost of the gold tickets is 10(x+8).
The total cost of all the tickets is $140, so we have the equation:
10x + 10(x+8) = $140
Simplify and solve for x:
10x + 10x + 80 = $140
20x = $60
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}.

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