document.write( "Question 1177210: Hi I'm having a hard time solving this word problem, I hope you could help me with this one. thank you. \r
\n" ); document.write( "\n" ); document.write( "A part of 200,000 pesos was invested in 1 year in an investment that offers a 5% interest rate. The remaining amount was invested at 3% interest for 1 year. How much was invested at each rate if the total interest earned from the two investments is 7000? \n" ); document.write( "

Algebra.Com's Answer #805479 by ikleyn(52799) $\"\"$ $\"About$

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document.write( "Let x be the amount invested at 5% (in pesos)\r\n" );
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document.write( "Then the amount invested at 3% is (200000-x) pesos.\r\n" );
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document.write( "First amount creates  0.05x pesos as the annual interest;\r\n" );
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document.write( "second amount creates 0.03*(200000-x) pesos as the annual interest.\r\n" );
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document.write( "Next, you write the equation for the total interest\r\n" );
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document.write( "    0.05x + 0.03(200000-x) = 7000  pesos.\r\n" );
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document.write( "From the equation,\r\n" );
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document.write( "    x =  = 50000.\r\n" );
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document.write( "ANSWER.  50,000 pesos invested at 5%;  the rest,  200,000-50,000 = 150000 pesos, invested at 3%.\r\n" );
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document.write( "CHECK.  0.05*50000 + 0.03*150000 = 7000 pesos, the total interest.   ! Correct !\r\n" );
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\n" ); document.write( "\n" ); document.write( "Solved.\r
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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( "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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