document.write( "Question 153650: Please help me solve: Susan Marciano invested part of her $18,000 bonus in a fund that paid an 8% profit and invested the rest in stock that suffered a 3% loss. Find the amount of each investment if her overall net profit was $780.
\n" ); document.write( "They want to know: The amount invested at 8% is:
\n" ); document.write( "and the amount invested in stock is: \n" ); document.write( "
Algebra.Com's Answer #113095 by orca(409)\"\" \"About 
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Let x be the amount invested in funds that earned 8%.
\n" ); document.write( "Then the amount invested in stock that suffered 3% loss is 18,000 - x.
\n" ); document.write( "The profit from investment in funds is 8%x
\n" ); document.write( "The loss from investment in stock is 3%(18,000 - x).
\n" ); document.write( "The net profit is 8%x - 3%(18,000 - x).
\n" ); document.write( "As the net profit given in the problem is $780, we have:
\n" ); document.write( "8%x - 3%(18,000 - x) = 780
\n" ); document.write( "Solving for x, we have:
\n" ); document.write( "8x - 3(18,000 - x) = 78000 (multiply both sides by 100)
\n" ); document.write( "8x - 54000 + 3x = 78000
\n" ); document.write( "11x = 132000
\n" ); document.write( "x = 132000/11
\n" ); document.write( "x = 12,000
\n" ); document.write( "So
\n" ); document.write( "the amount invested in funds that earned 8% is 12,000.
\n" ); document.write( "the amount invested in stock that suffered 3% loss is 18,000 - x = 18000 - 12000 = 6,000.
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