document.write( "Question 1185437: donna invested part of her money at 8% and the remainder at 10%, if she invested P400,000 and received a total of P37,000 in interest, how much did she invest each rate?
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Algebra.Com's Answer #816264 by ikleyn(52790)![]() ![]() You can put this solution on YOUR website! . \n" ); document.write( "donna invested part of her money at 8% and the remainder at 10%, if she invested P400,000 \n" ); document.write( "and received a total of P37,000 in interest, how much did she invest each rate? \n" ); document.write( "~~~~~~~~~~~~~~~~~~\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \r\n" ); document.write( "Let x dollars be the amount invested at 10%.\r\n" ); document.write( "\r\n" ); document.write( "Then the amount invested at 8% is (400000-x) dollars. (Honestly, I don't know what your \"P\" means and how to pronounce it . . . )\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "Then the equation for the total interest earned in one year is\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( " 0.1x + 0.08*(400000-x) = 37000 dollars.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "From the equation\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( " x =\r \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( "It is a standard and typical problem on investments.\r \n" ); document.write( " \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 \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" ); document.write( " |