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 #133869 by ankor@dixie-net.com(22740)\"\" \"About 
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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?
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\n" ); document.write( "let x = no. members
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\n" ); document.write( "if \"4%2F5\" of the males are married, then \"1%2F5\" are unmarried and = 9
\n" ); document.write( "therefore total males = 5*9 = 45
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\n" ); document.write( "x = \"4%2F7\"x + 45
\n" ); document.write( "multiply equation by 7 to get rid of the denominator (what was I thinking?!)
\n" ); document.write( "7x = 7*\"4%2F7\"x + 7(45)
\n" ); document.write( "cancel denominators
\n" ); document.write( "7x = 4x + 315
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\n" ); document.write( "7x - 4x = 315
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\n" ); document.write( "3x = 315
\n" ); document.write( "x = \"315%2F3\"
\n" ); document.write( "x = 105 members
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\n" ); document.write( "Check solution: married males: 45-9 = 36
\n" ); document.write( " \"4%2F7\"105 + 36 + 9 =
\n" ); document.write( "60 = 36 + 9 = 105
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