document.write( "Question 1153600: Mr. Thorpe inherited a sum of money. He invested 2/5 of this sum at 6%, 1/3 at 5%, and the rest at 8%. If the annual income from these investments was $2790, find the amount of money he inherited. \n" ); document.write( "
Algebra.Com's Answer #775869 by VFBundy(438)\"\" \"About 
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6% acc't:
\n" ); document.write( "Principal = (2/5)x = 0.40x
\n" ); document.write( "Rate = 0.06
\n" ); document.write( "Interest = 0.06(0.40x) = 0.024x
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\n" ); document.write( "5% acc't:
\n" ); document.write( "Principal = (1/3)x = 0.33x
\n" ); document.write( "Rate = 0.05
\n" ); document.write( "Interest = 0.05(0.33x) = 0.0165x
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\n" ); document.write( "8% acc't:
\n" ); document.write( "Principal = (1 - 2/5 - 1/3)x = (4/15)x = 0.27x
\n" ); document.write( "Rate = 0.08
\n" ); document.write( "Interest = 0.08(0.27x) = 0.0216x
\n" ); document.write( "
\n" ); document.write( "0.024x + 0.0165x + 0.0216x = 2790
\n" ); document.write( "
\n" ); document.write( "0.0621x = 2790
\n" ); document.write( "
\n" ); document.write( "x = $44,927.54
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