document.write( "Question 1178437: part of $5,200 is invested at an annual rate of 7 1/2% and remainder is invested at an annual rate 5%. If the total number annual income from these two investments is $350, find the number of dollars invested at the 5% rate. \n" ); document.write( "

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\n" ); document.write( "part of $5,200 is invested at an annual rate of 7 1/2% and remainder is invested at an annual rate 5%.
\n" ); document.write( "If the total number annual income from these two investments is $350, find the number of dollars
\n" ); document.write( "invested at the 5% rate.
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document.write( "Let x be the amount (in dollars) invested at 5% rate.\r\n" );
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document.write( "Then the part invested at 7.5% is  (5200-x) follars.\r\n" );
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document.write( "Then you have this total interest equation\r\n" );
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document.write( "    0.05x + 0.075*(5200-x) = 350   dollars.\r\n" );
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document.write( "From the equation\r\n" );
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document.write( "    x =  = 1600.\r\n" );
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document.write( "ANSWER.  The amount invested at 5% was 1600  dollars.\r\n" );
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document.write( "CHECK.  The total interest  0.005*1600 + 0.075*(5200-1600) = 3500  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
\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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