document.write( "Question 1195194: A woman invested 4 times as much at 3% as she did at 2%. The total amount of interest she earns in 1 year from both accounts is $1,120. How much did she invest at each rate? \n" ); document.write( "

Algebra.Com's Answer #827604 by ikleyn(52787) $\"\"$ $\"About$

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\n" ); document.write( "A woman invested 4 times as much at 3% as she did at 2%.
\n" ); document.write( "The total amount of interest she earns in 1 year from both accounts is $1,120.
\n" ); document.write( "How much did she invest at each rate?
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document.write( "She invested x dollars at 2% and 4x dollars at 3%.\r\n" );
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document.write( "Write the total annual interest equation\r\n" );
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document.write( "    0.02x + 0.03*(4x) = 1120  dollars.\r\n" );
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document.write( "Simplify and find x\r\n" );
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document.write( "    0.02x + 0.12x = 1120\r\n" );
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document.write( "         0.14x = 1120\r\n" );
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document.write( "             x = 1120/0.14 = 8000.\r\n" );
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document.write( "ANSWER.  $8000 invested at 2% and $32000 invested at 3%\r\n" );
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