document.write( "Question 1202412: Maricopa's Success scholarship fund receives a gift of $105000. The money is invested in stocks, bonds, and CDs. CDs pay 3.25% interest, bonds pay 5.7% interest, and stocks pay 11.5% interest. Maricopa Success invests $35000 more in bonds than in CDs. If the annual income from the investments is $7937.50 , how much was invested in each account?
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Algebra.Com's Answer #837235 by ikleyn(52781) $\"\"$ $\"About$

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\n" ); document.write( "Maricopa's Success scholarship fund receives a gift of $105000.
\n" ); document.write( "The money is invested in stocks, bonds, and CDs.
\n" ); document.write( "CDs pay 3.25% interest, bonds pay 5.7% interest, and stocks pay 11.5% interest.
\n" ); document.write( "Maricopa Success invests $35000 more in bonds than in CDs.
\n" ); document.write( "If the annual income from the investments is $7937.50, how much was invested in each account?
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document.write( "Let x be the amount invested in CDs at 3.25%.\r\n" );
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document.write( "Then the amount invested in bonds at 5.7% is (x+35000)  dollars, according to the problem.\r\n" );
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document.write( "The amount invested at 11.5% is the rest  (105000 - x - (x+35000)) = 70000-2x dollars.\r\n" );
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document.write( "Next write the total interest equation\r\n" );
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document.write( "    0.0325x + 0.057(x+35000) + 0.115*(70000-2x) = 7937.50  dollars.\r\n" );
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document.write( "Simplify and find x\r\n" );
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document.write( "    0.0325x + 0.057x - 0.115*(2x) = 7937.50 - 0.057*35000 - 0.115*70000\r\n" );
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document.write( "            -0.1405x             =       -2107.50\r\n" );
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document.write( "                   x             =        =  15000.\r\n" );
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document.write( "ANSWER.  $15000 was invested at CD (at 3.25%);  $15000+$35000 = $50000 was invested in bonds at 5.7%\r\n" );
document.write( "                and the rest 105000-15000-50000 = 40000 dollars were invested in stocks (at 11.5%).\r\n" );
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document.write( "CHECK.  0.0325*15000 + 0.057*50000 + 0.115*40000 = 7937.50 dollars, total annual interest.  ! correct !\r\n" );
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\n" ); document.write( "\n" ); document.write( "Solved, using one single equation in one single unknown.\r
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