document.write( "Question 824629: Solve this problem by using a two order system.\r
\n" ); document.write( "\n" ); document.write( "A man invests $5,200, part at 4% and the balance at 3%. If his total income for the two investments is $194, how much money did he invest at each rate?
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Algebra.Com's Answer #496691 by nerdybill(7384)\"\" \"About 
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A man invests $5,200, part at 4% and the balance at 3%. If his total income for the two investments is $194, how much money did he invest at each rate?
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\n" ); document.write( "Let x = amount ($) invested at 4%
\n" ); document.write( "then
\n" ); document.write( "5200-x = amount ($) invested at 3%
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\n" ); document.write( ".04x + .03(5200-x) = 194
\n" ); document.write( ".04x + 156-.03x = 194
\n" ); document.write( ".01x + 156 = 194
\n" ); document.write( ".01x = 38
\n" ); document.write( "x = $3800 (amount invested at 4%)
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\n" ); document.write( "amount invested at 3%:
\n" ); document.write( "5200-3800 = $1400
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