document.write( "Question 120598: The number of men at a party is 2/9 of the number of women. There are 91 more women than men. How many people are there in the party. \n" ); document.write( "

Algebra.Com's Answer #88413 by ankor@dixie-net.com(22740) $\"\"$ $\"About$

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The number of men at a party is 2/9 of the number of women. There are 91 more women than men. How many people are there in the party.
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\n" ); document.write( "Here's one way: Let x = no. of men; (x+91) = no. of women
\n" ); document.write( " $\"2%2F9\"$ = $\"x%2F%28%28x%2B91%29%29\"$
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\n" ); document.write( "Cross multiply:
\n" ); document.write( "9x = 2(x+91)
\n" ); document.write( "9x = 2x + 182
\n" ); document.write( "9x - 2x = 182
\n" ); document.write( "7x = 182/7
\n" ); document.write( "x = 26 men
\n" ); document.write( "then
\n" ); document.write( "26 + 91 = 117 women
\n" ); document.write( "For a total of
\n" ); document.write( "26 + 117 = 143 people
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\n" ); document.write( "Check solution: $\"26%2F117\"$ = $\"2%2F9\"$
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