SOLUTION: 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 14% interest and one-sixth of her winnings i

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Question 177591This question is from textbook College Algebra
: 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 14% interest and one-sixth of her winnings in Kaiser's German Bakery at 12% interest. If she earned a total of $4000 on the investments in one year, then how much did she win on the game show? This question is from textbook College Algebra

Answer by Mathtut(3670) About Me  (Show Source):
You can put this solution on YOUR website!
let x be the total winnings
:
.14%281%2F3%29x%2B.12%281%2F6%29x=4000
:
%28.28x%2B.12x%29%2F6=4000(multiplied first term by 2/2 to get common denominator)
:
.4x=24000multiplied both sides by 6 and combine x terms
:
highlight%28x=60000%29dollars in winnings.