document.write( "Question 697623: please help me solve this : a man left an amount of $525,000 to be divided among his widow, two sons and one daughter, each son was to receive twice the amount the daughter would receive, and the widow was to have eight times the amount each son would receive. how much was the widows share? \n" ); document.write( "

Algebra.Com's Answer #430174 by josmiceli(19441) $\"\"$ $\"About$

You can put this solution on YOUR website!
Let $\"+s+\"$ = the share for 1 son
\n" ); document.write( "Let $\"+d+\"$ = the share for the daughter
\n" ); document.write( "Let $\"+w+\"$ = the share for the widow
\n" ); document.write( "given:
\n" ); document.write( "(1) $\"+2s+%2B+d+%2B+w+=+525000+\"$
\n" ); document.write( "(2) $\"+s+=+2d+\"$
\n" ); document.write( "(3) $\"+w+=+8s+\"$
\n" ); document.write( "-------------
\n" ); document.write( "(2) $\"+d+=+s%2F2+\"$
\n" ); document.write( "Substitute this into (1)
\n" ); document.write( "(1) $\"+2s+%2B+s%2F2+%2B+w+=+525000+\"$
\n" ); document.write( "and, also, substitute (3) into (1)
\n" ); document.write( "(1) $\"+2s+%2B+s%2F2+%2B+8s+=+525000+\"$
\n" ); document.write( "(1) $\"+4s+%2B+s+%2B+16s+=+1050000+\"$
\n" ); document.write( "(1) $\"+21s+=+1050000+\"$
\n" ); document.write( "(1) $\"+s+=+50000+\"$
\n" ); document.write( "and
\n" ); document.write( " $\"+w+=+8s+\"$
\n" ); document.write( " $\"+w+=+400000+\"$
\n" ); document.write( "The widow's share is $400,000
\n" ); document.write( "check:
\n" ); document.write( "(2) $\"+d+=+s%2F2+\"$
\n" ); document.write( "(2) $\"+d+=+25000+\"$
\n" ); document.write( "and
\n" ); document.write( "(1) $\"+2s+%2B+d+%2B+w+=+525000+\"$
\n" ); document.write( "(1) $\"+2%2A50000+%2B+25000+%2B+400000+=+525000+\"$
\n" ); document.write( "(1) $\"+100000+%2B+425000+=+525000+\"$
\n" ); document.write( "(1) $\"+525000+=+525000+\"$
\n" ); document.write( "OK\r
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