SOLUTION: Investment Income: 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-sixt

Question 50585This question is from textbook College Algebra
: Investment Income: 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, 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!
.14*X/3+.12*X/6=4000 OR .14X/3+.12X/6=4000 OR (.28X+.12X)/6=4000 OR .3X=24000
OR X=80000 WHICH REPRESENTS 1/3+1/6 OF HER TOTAL EARNINGS THUS HER TOTAL EARNINGS WERE 80000/(1/3+1/6) OR 80000/1/2 OR 80000/.5 OR $160,000
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