document.write( "Question 1129828: Sam invested $1950, part of it at 6% and the rest at 8% yearly interest. The yearly income on the 8% investment was $46 more than twice the income from the 6% investment. How much did he invest at each rate?
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Algebra.Com's Answer #746471 by ikleyn(52790)\"\" \"About 
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document.write( "Let x be the amount invested at 8%, in dollars.\r\n" );
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document.write( "Then the amount invested at 6% is the rest,  (1950-x) dollars.\r\n" );
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document.write( "The equation from the condition is THIS:\r\n" );
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document.write( "    0.08x - 2*0.06*(1950-x) = 46.\r\n" );
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document.write( "    0.08x + 2*0.06x = 46 + 2*0.06*1950\r\n" );
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document.write( "    x = \"%2846+%2B+2%2A0.06%2A1950%29%2F%280.08%2B2%2A0.06%29\" = (one click in my MS Excel) = 1400.\r\n" );
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document.write( "Answer.  $1400 were invested at 8%, and the rest  1950-1400 = 550 dollars were invested at 6%.\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
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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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