document.write( "Question 1185440: donna invested part of her money at 8% and the remainder at 10%, if she invested P400,000 and received a total of P37,000 in interest, how much did she invest each rate?
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Algebra.Com's Answer #816263 by ikleyn(52790)\"\" \"About 
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\n" ); document.write( "donna invested part of her money at 8% and the remainder at 10%, if she invested P400,000
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document.write( "Let x dollars be the amount invested at 10%.\r\n" );
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document.write( "Then the amount invested at 8% is (400000-x)  dollars.    (Honestly, I don't know what your \"P\" means and how to pronounce it . . . )\r\n" );
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document.write( "Then the equation for the total interest earned in one year is\r\n" );
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document.write( "    0.1x + 0.08*(400000-x) = 37000  dollars.\r\n" );
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document.write( "From the equation\r\n" );
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document.write( "    x = \"%2837000-0.08%2A400000%29%2F%280.1-0.08%29\" = 250000.\r\n" );
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document.write( "ANSWER.  P250000 invested at 10%  and the rest, (400000-250000) = 150000 invested at 8%.\r\n" );
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document.write( "CHECK.   0.1*250000 + 0.08*150000 = 37000,  total annual interest earned.    ! Correct !\r\n" );
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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
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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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