document.write( "Question 365023: A man who recently won a lottery wishes to invest $100,000. Part of this amount is invested at 12% and part of it at 15%. If the total interest earning should be $14 115 per year, how much should be invested at 15% and how much at 12%.\r
\n" ); document.write( "\n" ); document.write( "I tried many solutions but this is the only one that i think is somewhat right.\r
\n" ); document.write( "\n" ); document.write( "14115 = .12x + .15x \n" ); document.write( "
Algebra.Com's Answer #260279 by nerdybill(7384)\"\" \"About 
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A man who recently won a lottery wishes to invest $100,000. Part of this amount is invested at 12% and part of it at 15%. If the total interest earning should be $14 115 per year, how much should be invested at 15% and how much at 12%.
\n" ); document.write( "I tried many solutions but this is the only one that i think is somewhat right.
\n" ); document.write( "14115 = .12x + .15x
\n" ); document.write( ".
\n" ); document.write( "Well, you're close...but, you can't use the same variable to represent both amounts.
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\n" ); document.write( "Let x = amount invested at 12%
\n" ); document.write( "then because his total investment was $100,000 we have
\n" ); document.write( "100000-x = amount invested at 15%
\n" ); document.write( ".
\n" ); document.write( "14115 = .12x + .15(100000-x)
\n" ); document.write( "14115 = .12x + 15000 - .15x
\n" ); document.write( "14115 = 15000 - .03x
\n" ); document.write( "-885 = -.03x
\n" ); document.write( "$29,500 = x (amount invested at 12%)
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\n" ); document.write( "Amount invested at 15%:
\n" ); document.write( "100000-x = 100000-29500 = $70,500\r
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