SOLUTION: Please Help on word problem....Thank you Tare paid one-half of her game-show winning to the government for taxes. She invested one-third of her winnings in Jeff's copy shop at

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Question 51330This question is from textbook college algebra
: Please Help on word problem....Thank you

Tare paid one-half of her game-show winning 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 Bakery at 12% interest. If she earned a total of $4000 on the investment in one year, then how much did she win on the game show??
This question is from textbook college algebra

Answer by checkley71(8403) About Me  (Show Source):
You can put this solution on YOUR website!
.14x(1/3)+.12x(2/3)=4000 or .14x/3+.24x/3=4000 or .38x/3=4000 or .38x=12000 or
x=12000/.38 x=$31,578.95 the amount of the investment
.14*31578.95/3+.12*31578.95*2/3=4000 or 1473.68+2526.32=4000 or 4000=4000