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

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) (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
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