document.write( "Question 794532: Please Help me solve...
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document.write( "Ms. Mills invested her $20,000 bonus in two accounts. She took a 4% loss on one investment and made a 12% profit on another investment but ended up breaking even. How much was invested in each account? \n" );
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Algebra.Com's Answer #480649 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! Ms. Mills invested her $20,000 bonus in two accounts. She took a 4% loss on one investment and made a 12% profit on another investment but ended up breaking even. How much was invested in each account? \n" ); document.write( "---------------- \n" ); document.write( "Equations: \n" ); document.write( "f + t = 20,000 \n" ); document.write( "-0.04f + 0.12t = 0 \n" ); document.write( "------------------------ \n" ); document.write( "Modify: \n" ); document.write( "Multiply thru the top equation by 4: \n" ); document.write( "Multiply thru the bottom equation by 100:: \n" ); document.write( "4f + 4t = 80,000 \n" ); document.write( "-4f+12t = 0 \n" ); document.write( "------------------------ \n" ); document.write( "Add and solve for \"t\"::: \n" ); document.write( "16t = 80,000 \n" ); document.write( "t = 5,000 (amt. invested at 12%) \n" ); document.write( "----- \n" ); document.write( "Solve for \"f\": \n" ); document.write( "f + 5000 = 20,000 \n" ); document.write( "f = 15,000 (amt. invested at 4%) \n" ); document.write( "-------------------- \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( "================\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |