document.write( "Question 1125806: Last year, Elsa had $30,000 to invest. She invested some of it in an account that paid 6% simple interest per year, and she invested the rest in an account that paid 10% simple interest per year. After one year, she received a total of $2360 in interest. How much did she invest in each account?
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Algebra.Com's Answer #742131 by ikleyn(52781) $\"\"$ $\"About$

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document.write( "Let x is invested at 10%.  The annual interest of this investment is 0.1*x dollars.\r\n" );
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document.write( "The the investment at 6%  is  (30000-x),  and its generates the annual interest of 0.06(30000-x) dollars.\r\n" );
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document.write( "Your equation is\r\n" );
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document.write( "    interest + interest       = total interest,    or\r\n" );
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document.write( "    0.1x     + 0.06*(30000-x) = 2360    dollars.\r\n" );
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document.write( "    0.1x + 0.06*30000 - 0.06x = 2360\r\n" );
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document.write( "    0.1x - 0.06x = 2360 - 0.06*30000\r\n" );
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document.write( "    x =  = 14000.\r\n" );
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document.write( "Answer.  $14000 was invested at 10%  and  the rest,  (30000-14000) = 16000 dollars were invested at 6%.\r\n" );
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document.write( "Check.   0.1*14000 + 0.06*16000 = 2360 dollars.    ! 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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