document.write( "Question 1086339: One week a syndicate of x people won $1000 in a lottery. If there had been two fewer people in the syndicate, each person would have received $25 more. How many people are in the syndicate?
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Algebra.Com's Answer #700503 by Fombitz(32388) $\"\"$ $\"About$

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So they won, $\"A=1000%2Fx\"$ each.
\n" ); document.write( "If there were 2 fewer,
\n" ); document.write( " $\"1000%2F%28x-2%29=A%2B25\"$
\n" ); document.write( " $\"1000%2F%28x-2%29=1000%2Fx%2B25\"$
\n" ); document.write( " $\"1000x=1000%28x-2%29%2B25x%28x-2%29\"$
\n" ); document.write( " $\"1000x=1000x-2000%2B25x%5E2-50x\"$
\n" ); document.write( " $\"25x%5E2-50x-2000=0\"$
\n" ); document.write( " $\"x%5E2-2x-80=0\"$
\n" ); document.write( " $\"%28x-10%29%28x%2B8%29=0\"$
\n" ); document.write( "Only positive x values make sense in this problem,
\n" ); document.write( " $\"x-10=0\"$
\n" ); document.write( " $\"x=10\"$
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\n" ); document.write( "10 people all together.\r
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