document.write( "Question 1122307: Ali invested his savings in two investment funds. The $24000 that he invested in Fund A returned a 2% profit. The amount that he invested in Fund B returned a 6% profit. How much did he invest in Fund B, if both funds together returned a 3% profit? \n" ); document.write( "

Algebra.Com's Answer #738390 by ikleyn(52787) $\"\"$ $\"About$

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document.write( "x = amount invested in Fund A.\r\n" );
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document.write( "y = amount invested in Fund B.\r\n" );
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document.write( "From the condition you have this system of 2 equations in 2 unknowns\r\n" );
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document.write( "    x +      y = 24000,         (1)\r\n" );
document.write( "0.02x + 0.06*y = 0.03*24000.    (2)\r\n" );
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document.write( "Multiply eq(1) by 0.02 (both sides). You will get the system in the form\r\n" );
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document.write( "0.02x + 0.02y  = 0.02*24000,    (1')\r\n" );
document.write( "0.02x + 0.06*y = 0.03*24000.    (2')\r\n" );
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document.write( "Subtract eq(1') From eq(2')  (both sides).  You will get\r\n" );
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document.write( "0.04y = 0.01*24000  ====>  y =  = 6000.\r\n" );
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document.write( "Answer.  $6000 was invested at 6%.  The rest  $24000 - $6000 = $18000 was invested at 2%.\r\n" );
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document.write( "Check.   0.06*6000 + 0.02*18000 = 720 dollars.\r\n" );
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document.write( "         0.03*24000 = 720 dollars.   ! Correct !\r\n" );
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\n" ); document.write( "\n" ); document.write( "It is a typical and standard problem on investment.\r
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\n" ); document.write( "\n" ); document.write( "To see many other similar solved problems on investment, 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( "\n" ); document.write( "Save the link to this online textbook together with its description\r
\n" ); document.write( "
\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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