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)![]() ![]() You can put this solution on YOUR website! 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( ": \n" ); document.write( "let x = no. members \n" ); document.write( ": \n" ); document.write( "if \n" ); document.write( "therefore total males = 5*9 = 45 \n" ); document.write( ": \n" ); document.write( "x = \n" ); document.write( "multiply equation by 7 to get rid of the denominator (what was I thinking?!) \n" ); document.write( "7x = 7* \n" ); document.write( "cancel denominators \n" ); document.write( "7x = 4x + 315 \n" ); document.write( ": \n" ); document.write( "7x - 4x = 315 \n" ); document.write( ": \n" ); document.write( "3x = 315 \n" ); document.write( "x = \n" ); document.write( "x = 105 members \n" ); document.write( ": \n" ); document.write( ": \n" ); document.write( "Check solution: married males: 45-9 = 36 \n" ); document.write( " \n" ); document.write( "60 = 36 + 9 = 105 \n" ); document.write( " \n" ); document.write( " |