tara paid​ one-half of her​ game-show winnings to the government for taxes. she invested​ one-third of her winnings in​ jeff''s copy shop at 13​% interest and​ one-sixth of her winnings in​ kaiser's german bakery at ​14% interest. if she earned a total of ​$3800 on the investments in one​ year, then how much did she win on the game​ show?

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