document.write( "Question 443879: A $40 000 inheritance was divided among 3 brothers, John, Daniel and Philip. John received $2000 less than Daniel. Daniel received $3000 more than Philip. How much money did each brother receive? \n" ); document.write( "

Algebra.Com's Answer #306107 by josmiceli(19441) $\"\"$ $\"About$

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Let $\"+j\"$ = John's share
\n" ); document.write( "Let $\"d\"$ = Daniel's share
\n" ); document.write( "Let $\"p\"$ = Philip's share
\n" ); document.write( "given:
\n" ); document.write( "(1) $\"+j+%2B+d+%2B+p+=+40000+\"$
\n" ); document.write( "(2) $\"+j+=+d+-+2000+\"$
\n" ); document.write( "(3) $\"+d+=+p+%2B+3000+\"$
\n" ); document.write( "-----------------
\n" ); document.write( "This is 3 equations and 3 unknowns,
\n" ); document.write( "so it's solvable
\n" ); document.write( "(3) $\"+d+=+p+%2B+3000+\"$
\n" ); document.write( "(3) $\"+p+=+d+-+3000+\"$
\n" ); document.write( "Substitute (2) and (3) in (1)
\n" ); document.write( "(1) $\"+j+%2B+d+%2B+p+=+40000+\"$
\n" ); document.write( "(1) $\"+d+-+2000+%2B+d+%2B+d+-+3000+=+40000+\"$
\n" ); document.write( "(1) $\"+3d+-+5000+=+40000+\"$
\n" ); document.write( "(1) $\"+3d+=+45000+\"$
\n" ); document.write( "(1) $\"+d+=+15000+\"$
\n" ); document.write( "and
\n" ); document.write( "(2) $\"+j+=+d+-+2000+\"$
\n" ); document.write( "(2) $\"+j+=+15000+-+2000+\"$
\n" ); document.write( "(2) $\"+j+=+13000+\"$
\n" ); document.write( "and
\n" ); document.write( "(3) $\"+p+=+d+-+3000+\"$
\n" ); document.write( "(3) $\"+p+=+15000+-+3000+\"$
\n" ); document.write( "(3) $\"+p+=+12000+\"$
\n" ); document.write( "$13,000 is John's share
\n" ); document.write( "$15,000 is Daniel's share
\n" ); document.write( "$12,000 is Philip's share \n" ); document.write( "

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