document.write( "Question 1177199: Lita invested some of her savings in real estate which end up yielding 12% at the end of 1 year. At the same time, she invested P200,000 more than this amount into a friend’s restaurant business, which ended up yielding a 22% profit at the end of 1 year. If her total profit was P146,000, how much did she invest in each business venture? Show solution. \n" ); document.write( "

Algebra.Com's Answer #805469 by ikleyn(52806) $\"\"$ $\"About$

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document.write( "The total interest equation is\r\n" );
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document.write( "    0.12x + 0.22*(x+200000) = 146000\r\n" );
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document.write( "From the equation,\r\n" );
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document.write( "    x =  = 300,000   invested at 12%.\r\n" );
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document.write( "Hence,  the amount invested at 22% was  300,000 + 200,000 = 500,000.\r\n" );
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document.write( "CHECK.  0.12*300000 + 0.22*500000 = 146,000, the total interest.    ! 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( "Save the link to this online textbook together with its description\r
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\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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