document.write( "Question 1128089: An investment firm recommends that a client invest in bonds rated AAA, A, and B. The average yield on AAA bonds is 6%, on A bonds 7%, and on B bonds 10%. The client wants to invest twice as much in AAA bonds as in B bonds. How much should be invested in each type of bond if the total investment is $21,000, and the investor wants an annual return of $1,520 on the three investments.The client should invest $____ in AAA bonds, $____ in A bonds, and $____ in B bonds. \n" ); document.write( "

Algebra.Com's Answer #744623 by ikleyn(52790) $\"\"$ $\"About$

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document.write( "Let x = how much is invested in B bonds, in dollars.\r\n" );
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document.write( "Then the amount invested at AAA bonds is 2x, \r\n" );
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document.write( "while the amount invested in A bonds is the rest, (21000-x - 2x) = (21000-3x) dollars.\r\n" );
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document.write( "Then your \"investment\" equation is\r\n" );
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document.write( "    0.06*(2x) + 0.07*(21000-3x) + 0.10*x = 1520.\r\n" );
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document.write( "Simplify and solve for x:\r\n" );
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document.write( "    0.12x + 0.07*21000 - 0.21x + 0.10x = 1520\r\n" );
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document.write( "    0.01x = 1520 - 0.07*21000\r\n" );
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document.write( "    0.01x = 50  ====>  x =  = 5000.\r\n" );
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document.write( "Answer.  $5000 in B bonds;   $10000 in AAA bonds;  and the rest  (21000-5000-10000) = 6000 dollars in A bonds.\r\n" );
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document.write( "Check.   0.06*10000 + 0.07*6000 + 0.10*5000 = 1520 dollars.   ! Correct !\r\n" );
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