document.write( "Question 663153: an inheritance of $900000 is to be divided among Maria, Lorna and Fe in the following manner: Lorna is to receive 3/5 of what Maria while Fe gets 1/2 of what Maria gets. How much does each receive \n" ); document.write( "
Algebra.Com's Answer #412675 by josmiceli(19441)\"\" \"About 
You can put this solution on YOUR website!
The fractions of the $900K that each gets
\n" ); document.write( "add up to \"+1+\"
\n" ); document.write( "Let \"+a+\" = Maria's fraction
\n" ); document.write( "Let \"+b+\" = Lorna's fraction
\n" ); document.write( "Let \"+c+\" = Fe's fraction
\n" ); document.write( "-----------------------
\n" ); document.write( "given:
\n" ); document.write( "\"+b+=+%283%2F5%29%2Aa+\"
\n" ); document.write( "\"+c+=+%281%2F2%29%2Aa+\"
\n" ); document.write( "\"+a+%2B+b+%2B+c+=+1+\"
\n" ); document.write( "By substitution:
\n" ); document.write( "\"+a+%2B+%283%2F5%29%2Aa+%2B+%281%2F2%29%2Aa+=+1+\"
\n" ); document.write( "\"+%2810%2F10%29%2Aa+%2B+%286%2F10%29%2Aa+%2B+%285%2F10%29%2Aa+=+1+\"
\n" ); document.write( "\"+%2821%2F10%29%2Aa+=+1+\"
\n" ); document.write( "\"+a+=+10%2F21+\"
\n" ); document.write( "and
\n" ); document.write( "\"+b+=+%283%2F5%29%2Aa+\"
\n" ); document.write( "\"+b+=+%283%2F5%29%2A%2810%2F21%29+\"
\n" ); document.write( "\"+b+=+6%2F21+\"
\n" ); document.write( "and
\n" ); document.write( "\"+c+=+%281%2F2%29%2Aa+\"
\n" ); document.write( "\"+c+=+%281%2F2%29%2A%2810%2F21%29+\"
\n" ); document.write( "\"+c+=+5%2F21+\"
\n" ); document.write( "-------------
\n" ); document.write( "Maria receives \"+%2810%2F21%29%2A900000+=+428571.42+\"
\n" ); document.write( "Lorna receives \"+%286%2F21%29%2A900000+=+257142.85+\"
\n" ); document.write( "Fe receives \"+%285%2F21%29%2A900000+=+214285.71+\"
\n" ); document.write( "-------------
\n" ); document.write( "check:
\n" ); document.write( "Lorna is to receive 3/5 of what Maria gets
\n" ); document.write( "\"+257142.85+=+%283%2F5%29%2A+428571.42+\"
\n" ); document.write( "\"+257142.85+=+257142.85+\"
\n" ); document.write( "Fe gets 1/2 of what Maria gets
\n" ); document.write( "\"+214285.71+=+%281%2F2%29%2A428571.42+\"
\n" ); document.write( "\"+214285.71+=+214285.71+\"
\n" ); document.write( "and
\n" ); document.write( "\"++428571.42+%2B+257142.85+%2B+214285.71+=+900000+\"
\n" ); document.write( "\"+899999.98+=+900000+\"
\n" ); document.write( "I'm off by .02 due to rounding off of my calculator, I guess\r
\n" ); document.write( "\n" ); document.write( "
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