Road Trip: California

Remember the famous California gold rush? Prices were so much more reasonable back then…

You could trade 2 coins, 14 nuggets, and 11 flakes for 1 bar of gold.
Or you could trade 5 coins and 29 nuggets for 2 gold bars and 22 flakes.
Or you could trade 17 coins, 3 nuggets, and 99 flakes for 3 gold bars.

How many flakes would you need to trade for 1 gold bar, 1 coin, and 1 nugget?

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