document.write( "Question 1111648: A certain amount of money is invested at 6% per year. A second amount is Php5000 larger than the first is invested at 8% per year. The interest from the investment at the higher rate exceeds the income from the lower investment by Php500. Find the investment at each rate. \n" ); document.write( "

Algebra.Com's Answer #726640 by ikleyn(52866) $\"\"$ $\"About$

You can put this solution on YOUR website!
.
\n" ); document.write( "A certain amount of money is invested at 6% per year. A second amount is Php5000 larger than the first is invested at 8% per year.
\n" ); document.write( "The interest from the investment at the higher rate exceeds the income from the lower investment by Php500. Find the investment at each rate.
\n" ); document.write( "~~~~~~~~~~~~~~~~~~~~~~~~~\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "

\r\n" );
document.write( "Interest      - interest = 500.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "0.08*(x+5000) - 0.06x    = 500   (<<<---=== x = the smaller amount at 6%)\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "0.08x + 400 - 0.06x = 500\r\n" );
document.write( "\r\n" );
document.write( "0.02x = 500 - 400 = 100    +  x =  =  = 5000.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "Answer.  Php 5000 was invested at 6% and  Php 10000 was invested at 8%.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "Check.   0.08*10000 - 0.06*5000 = 500 Php.   ! Correct !\r\n" );
document.write( "

\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Solved.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "---------------\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Any other answer is   I N C O R R E C T.\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\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
\n" ); document.write( "
\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
\n" ); document.write( "
\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
\n" ); document.write( "
\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
\n" ); document.write( "
\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
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "to your archive and use it when it is needed.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

\n" );