document.write( "Question 570587: Divide $630 among Al, Bill and Carl so that Al will receive twice as much as Bill and Bill will get three times as much as Carl. \n" ); document.write( "

Algebra.Com's Answer #367716 by ankor@dixie-net.com(22740) $\"\"$ $\"About$

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Divide $630 among Al, Bill and Carl
\n" ); document.write( "a + b + c = 630
\n" ); document.write( ":
\n" ); document.write( "so that Al will receive twice as much as Bill
\n" ); document.write( "a = 2b
\n" ); document.write( ":
\n" ); document.write( " and Bill will get three times as much as Carl.
\n" ); document.write( "b = 3c
\n" ); document.write( "Divide both sides by 3
\n" ); document.write( "c = $\"b%2F3\"$
\n" ); document.write( ":
\n" ); document.write( "Replace a & c in the 1st equation
\n" ); document.write( "2b + b + $\"b%2F3\"$ = 630
\n" ); document.write( "3b + $\"b%2F3\"$ = 630
\n" ); document.write( "multiply both sides by 3
\n" ); document.write( "9b + b = 3(630)
\n" ); document.write( "10b = 1890
\n" ); document.write( "b = 189 is Bills share
\n" ); document.write( "then
\n" ); document.write( "a = 2(189)
\n" ); document.write( "a = 378 is Al's share
\n" ); document.write( "and
\n" ); document.write( "c = 189/3
\n" ); document.write( "c = 63 is Carl's share
\n" ); document.write( ";
\n" ); document.write( ":
\n" ); document.write( "See if that adds up: 378 + 189 + 63 = 630 \n" ); document.write( "

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