document.write( "Question 389318: Linda won $200,000 in a state lottery. She first paid income tax of 30% on the winnings. Of the rest she invested some at 1.5% and some at 4% earning $4350 interest per year. How much did she invest at each rate? \n" ); document.write( "
Algebra.Com's Answer #275852 by mananth(16946)\"\" \"About 
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Linda won $200,000 in a state lottery. She first paid income tax of 30% on the winnings. Of the rest she invested some at 1.5% and some at 4% earning $4350 interest per year. How much did she invest at each rate?
\n" ); document.write( "...
\n" ); document.write( "30% 0f $200,000 = $60,000
\n" ); document.write( "...
\n" ); document.write( "$200,000-$60,000 = $140,000
\n" ); document.write( "...
\n" ); document.write( "@1.5%--------------------- $x
\n" ); document.write( "@4%-----------------------(140,000-x)
\n" ); document.write( "..
\n" ); document.write( "Interest earned = $4,350
\n" ); document.write( "...
\n" ); document.write( "1.5x+4(150,000-x)=4350*100
\n" ); document.write( "1.5x+600,000-4x=435,000
\n" ); document.write( "1.5x-4x=435,000-600,000
\n" ); document.write( "-2.5x=-165,000
\n" ); document.write( "/-2.5
\n" ); document.write( "x=66000
\n" ); document.write( "$ 66,000 @ 1.5%
\n" ); document.write( "Balance $ 74,000 @ 4%
\n" ); document.write( "...
\n" ); document.write( "m.ananth@hotmail.ca \n" ); document.write( "
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