document.write( "Question 1114760: A total of $2200 is invested, part at 5% and the rest at 3%. The annual income from the 3% account is $46 less than the income from the 5% account. Find the amount invested at 3%. \n" ); document.write( "

Algebra.Com's Answer #729709 by ikleyn(52787) $\"\"$ $\"About$

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document.write( "Let x be the amount invested at 3%, in dollars.\r\n" );
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document.write( "Then the rest, (2200-x) was invested at 5%.\r\n" );
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document.write( "The annual interest from the 3% account is  0.03*x \r\n" );
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document.write( "The annual interest from the 5% account is 0.05*(2200-x).\r\n" );
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document.write( "The condition says\r\n" );
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document.write( "0.03*x = 0.05*(2200-x) - 46  dollars.\r\n" );
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document.write( "Simplify and solve for x:\r\n" );
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document.write( "0.03x = 110 - 0.05x - 46\r\n" );
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document.write( "0.03x + 0.05x = 110 - 46\r\n" );
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document.write( "0.08x = 64  ====>  x =  =  = 800 dollars.\r\n" );
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document.write( "Answer.  $800 was invested at 3%.  The rest,  2200-800 = 1400 dollars was invested at 5%.\r\n" );
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document.write( "Check.   0.03*800 - 0.05*1400 = -46.    ! Correct !\r\n" );
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\n" ); document.write( "\n" ); document.write( "Solved.\r
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\n" ); document.write( "It is a typical and standard problem on investment.\r
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\n" ); document.write( "\n" ); document.write( "To see many other similar solved problems on investment, look into the lesson\r
\n" ); document.write( "\n" ); document.write( " - Using systems of equations to solve problems on investment\r
\n" ); document.write( "\n" ); document.write( "in this site.\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( "\n" ); document.write( "Save the link to this online textbook together with its description\r
\n" ); document.write( "
\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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