document.write( "Question 178921: 4/7 of the school's faculty are women; 4/5 of the male faculty are married; and 9 of the male faculty are unmarried. How many faculty members are there? \n" ); document.write( "
Algebra.Com's Answer #133868 by ptaylor(2198)\"\" \"About 
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Let x=number of faculty members
\n" ); document.write( "Then (4/7)x=number of women
\n" ); document.write( "And (3/7)x=number of males\r
\n" ); document.write( "\n" ); document.write( "Now we are told that:
\n" ); document.write( "(4/5)*(3/7)x=married males
\n" ); document.write( "9=unmarried males\r
\n" ); document.write( "\n" ); document.write( "married males + unmarried males=total males
\n" ); document.write( "(4/5)*(3/7)x +9=(3/7)x or
\n" ); document.write( "(12/35)x+9=(3/7)x multiply each term by 35
\n" ); document.write( "12x+315=15x subtract 12x from each side
\n" ); document.write( "12x-12x+315=15x-12x collect like terms
\n" ); document.write( "3x=315 divide each side by 3
\n" ); document.write( "x=105-----------number of faculty members\r
\n" ); document.write( "\n" ); document.write( "CK
\n" ); document.write( "(3/7)(105)=45
\n" ); document.write( "(4/5)*45=36
\n" ); document.write( "36+9=45
\n" ); document.write( "45=45\r
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\n" ); document.write( "\n" ); document.write( "Hope this helps---ptaylor
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