document.write( "Question 481974: Max has twice as much money as Katy, who has $12 more than Greg. All three
\n" ); document.write( "together have $124. How much does each person have \n" ); document.write( "

Algebra.Com's Answer #330021 by josmiceli(19441) $\"\"$ $\"About$

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Let $\"m\"$ = Max's amount of money
\n" ); document.write( "Let $\"k\"$ = Katy's amount of money
\n" ); document.write( "Let $\"+g\"$ = Greg's amount of money
\n" ); document.write( "given:
\n" ); document.write( "(1) $\"+m+=+2k+\"$
\n" ); document.write( "(2) $\"+k+=+g+%2B+12+\"$
\n" ); document.write( "(3) $\"+m+%2B+k+%2B+g+=+124+\"$
\n" ); document.write( "---------------------
\n" ); document.write( "From (2):
\n" ); document.write( "(2) $\"+g+=+k+-+12+\"$
\n" ); document.write( "Substitute (1) and (2) into (3)
\n" ); document.write( "(3) $\"+2k+%2B+k+%2B+k+-+12+=+124+\"$
\n" ); document.write( "(3) $\"+4k+-+12+=+124+\"$
\n" ); document.write( "(3) $\"+4k+=+124+%2B+12+\"$
\n" ); document.write( "(3) $\"+4k+=+136+\"$
\n" ); document.write( "(3) $\"+k+=+34+\"$
\n" ); document.write( "and, from (2)
\n" ); document.write( "(2) $\"+g+=+k+-+12+\"$
\n" ); document.write( "(2) $\"+g+=+34+-+12+\"$
\n" ); document.write( "(2) $\"+g+=+22+\"$
\n" ); document.write( "and
\n" ); document.write( "(1) $\"+m+=+2k+\"$
\n" ); document.write( "(1) $\"+m+=+68+\"$
\n" ); document.write( "Katy has $34
\n" ); document.write( "Max has $68
\n" ); document.write( "Greg has $22
\n" ); document.write( "Check:
\n" ); document.write( "(3) $\"+m+%2B+k+%2B+g+=+124+\"$
\n" ); document.write( "(3) $\"+68+%2B+34+%2B+22+=+124+\"$
\n" ); document.write( "(3) $\"+124+=+124+\"$
\n" ); document.write( "OK \n" ); document.write( "

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