document.write( "Question 1196217: Juan invested his savings in two investment funds. The $15,000 that he invested in Fund A returned a 3% profit. The amount that he invested in Fund B returned a 10% profit. How much did he invest in Fund B, if both funds together returned a 5% profit?
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Algebra.Com's Answer #828958 by ikleyn(52781)\"\" \"About 
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\n" ); document.write( "Juan invested his savings in two investment funds.
\n" ); document.write( "The $15,000 that he invested in Fund A returned a 3% profit.
\n" ); document.write( "The amount that he invested in Fund B returned a 10% profit.
\n" ); document.write( "How much did he invest in Fund B, if both funds together returned a 5% profit?
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document.write( "Let x be the amount invested in Fund B.\r\n" );
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document.write( "Write an equation for the total annual interest \r\n" );
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document.write( "    0.03*15000 + 0.1x = 0.05(15000+x).\r\n" );
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document.write( "Simplify and find x\r\n" );
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document.write( "    450 + 0.1x = 750 + 0.05x\r\n" );
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document.write( "    0.1x - 0.05x = 750 - 450\r\n" );
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document.write( "        0.05x    =    300\r\n" );
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document.write( "            x    =    300/0.05 = 6000.\r\n" );
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document.write( "ANSWER.  $6000 invested in Fund B.\r\n" );
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\n" ); document.write( "\n" ); document.write( "The key to solution of similar problems is to write a balance equation
\n" ); document.write( "for the total annual interest,  and then solve it.\r
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\n" ); document.write( "\n" ); document.write( "In this problem,  a professional term is  \" the interest \",  or  \" the annual interest \",  instead of  \" profit \".\r
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\n" ); document.write( "\n" ); document.write( "The term  \" profit \"  has different meaning and stands for another concept.\r
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\n" ); document.write( "\n" ); document.write( "It is a standard and typical problem on investments.\r
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\n" ); document.write( "\n" ); document.write( "If you need more details,  or if you want to see other similar problems solved by different methods,  look into the lesson \r
\n" ); document.write( "\n" ); document.write( "    - Using systems of equations to solve problems on investment\r
\n" ); document.write( "\n" ); document.write( "in this site.\r
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\n" ); document.write( "\n" ); document.write( "You will find there different approaches  (using one equation or a system of two equations in two unknowns),  as well as
\n" ); document.write( "different methods of solution to the equations  (Substitution,  Elimination).\r
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\n" ); document.write( "\n" ); document.write( "Also,  you have this free of charge online textbook in ALGEBRA-I in this site\r
\n" ); document.write( "\n" ); document.write( "    - ALGEBRA-I - YOUR ONLINE TEXTBOOK.\r
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\n" ); document.write( "\n" ); document.write( "The referred lesson is the part of this online textbook under the topic  \"Systems of two linear equations in two unknowns\".\r
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\n" ); document.write( "\n" ); document.write( "Save the link to this online textbook together with its description\r
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\n" ); document.write( "\n" ); document.write( "Free of charge online textbook in ALGEBRA-I
\n" ); document.write( "https://www.algebra.com/algebra/homework/quadratic/lessons/ALGEBRA-I-YOUR-ONLINE-TEXTBOOK.lesson\r
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\n" ); document.write( "\n" ); document.write( "to your archive and use it when it is needed.\r
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