document.write( "Question 177591This question is from textbook College Algebra
\n" ); document.write( ": 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? \n" ); document.write( "

Algebra.Com's Answer #132630 by Mathtut(3670) $\"\"$ $\"About$

You can put this solution on YOUR website!
let x be the total winnings
\n" ); document.write( ":
\n" ); document.write( " $\".14%281%2F3%29x%2B.12%281%2F6%29x=4000\"$
\n" ); document.write( ":
\n" ); document.write( " $\"%28.28x%2B.12x%29%2F6=4000\"$ (multiplied first term by 2/2 to get common denominator)
\n" ); document.write( ":
\n" ); document.write( " $\".4x=24000\"$ multiplied both sides by 6 and combine x terms
\n" ); document.write( ":
\n" ); document.write( " $\"highlight%28x=60000%29\"$ dollars in winnings. \n" ); document.write( "

\n" );