document.write( "Question 40786This question is from textbook
\n" ); document.write( ": Help set up and solve
\n" ); document.write( "Jane invested some amount at the rate of 12% simple interest and some other amount at the rate of 10% simple interest. She received yearly interest of $130. Randy also invested in the same scheme, but he interchanged the amounts invested, and received $4 more as interest. How much amount did each of them invest at different rates?
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Algebra.Com's Answer #26193 by stanbon(75887)\"\" \"About 
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Jane invested some amount at the rate of 12% simple interest and some other amount at the rate of 10% simple interest. She received yearly interest of $130. Randy also invested in the same scheme, but he interchanged the amounts invested, and received $4 more as interest. How much amount did each of them invest at different rates?\r
\n" ); document.write( "\n" ); document.write( "Let amount invested by Jane at 12% be \"x\"
\n" ); document.write( "and amount invested by 10% be \"y\".
\n" ); document.write( "EQUATION:
\n" ); document.write( "1st: 0.12x +0.10y=130
\n" ); document.write( "1st: 12x+10y=13000\r
\n" ); document.write( "\n" ); document.write( "Amount invested by Randy at 12% is \"y\"
\n" ); document.write( "Amount invested by Randy at 10% is \"x\"
\n" ); document.write( "EQUATION
\n" ); document.write( "2nd: 0.10x+0.12y=134
\n" ); document.write( "2nd: 10x+12y=13400\r
\n" ); document.write( "\n" ); document.write( "Multiply 1st by 10 and 2nd by 12:
\n" ); document.write( "1st: 120x+100y=130000
\n" ); document.write( "2nd: 120x+144y=160800\r
\n" ); document.write( "\n" ); document.write( "Subtract 1st from 2nd to get:
\n" ); document.write( "44y=30800
\n" ); document.write( "y=700
\n" ); document.write( "Substitute this value into 1st or 2nd to solve for \"x\".
\n" ); document.write( "120x+100(700)=130000
\n" ); document.write( "120x=130000=60000
\n" ); document.write( "x=500
\n" ); document.write( "You now know x and y.
\n" ); document.write( "You can figure out how much is invested by Jane and by Randy
\n" ); document.write( "at the two raes.
\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.\r
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