document.write( "Question 352146: The sum of $224 was divided among 3 people so that the second person received $1 less than twice as much as the first, and the third received $11 more than the second. How much did each person received? \n" ); document.write( "
Algebra.Com's Answer #251773 by ankor@dixie-net.com(22740)\"\" \"About 
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The sum of $224 was divided among 3 people so that the second person received $1
\n" ); document.write( " less than twice as much as the first, and the third received $11 more than the second.
\n" ); document.write( "How much did each person received?
\n" ); document.write( ":
\n" ); document.write( "Let the three people be x, y, z
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\n" ); document.write( "Write an equation for each statement:
\n" ); document.write( ":
\n" ); document.write( "\"the second person received $1 less than twice as much as the first,\"
\n" ); document.write( "y = 2x - 1
\n" ); document.write( ":
\n" ); document.write( "\"the third received $11 more than the second.\"
\n" ); document.write( "z = y + 11
\n" ); document.write( "From the 1st equation replace y with (2x-1) in the above equation
\n" ); document.write( "z = (2x-1) + 11
\n" ); document.write( "z = 2x + 10
\n" ); document.write( ":
\n" ); document.write( "\"The sum of $224 was divided among 3 people\"
\n" ); document.write( "x + y + z = 224
\n" ); document.write( "Replace y and z
\n" ); document.write( "x + (2x-1) + (2x + 10) = 224
\n" ); document.write( "5x + 9 = 224
\n" ); document.write( "5x = 224 - 9
\n" ); document.write( "5x = 215
\n" ); document.write( "x = \"215%2F5\"
\n" ); document.write( "x = $43
\n" ); document.write( "then
\n" ); document.write( "y = 2(43)-1
\n" ); document.write( "y = 86 - 1
\n" ); document.write( "y = $85
\n" ); document.write( "and
\n" ); document.write( "z = 2(43) + 10
\n" ); document.write( "z = 86 + 10
\n" ); document.write( "z = $96
\n" ); document.write( ":
\n" ); document.write( ":
\n" ); document.write( "See if this adds up
\n" ); document.write( "43 + 85 + 96 = 224 \n" ); document.write( "
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