document.write( "Question 205419: The women in a club outnumber the men by 16. 7 times the number of women exceeds 9 times the number of men by 32. Find the number of men. \n" ); document.write( "
Algebra.Com's Answer #155054 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! The women in a club outnumber the men by 16. \n" ); document.write( " 7 times the number of women exceeds 9 times the number of men by 32. \n" ); document.write( "Find the number of men. \n" ); document.write( ": \n" ); document.write( "\"The women in a club outnumber the men by 16.\" \n" ); document.write( "w = m + 16 \n" ); document.write( ": \n" ); document.write( "\" 7 times the number of women exceeds 9 times the number of men by 32.\" \n" ); document.write( "7w = 9m + 32 \n" ); document.write( ": \n" ); document.write( " Find the number of men. \n" ); document.write( ": \n" ); document.write( "replace w with (m+16) \n" ); document.write( "7(m+16) = 9m + 32 \n" ); document.write( ": \n" ); document.write( "7m + 112 = 9m + 32 \n" ); document.write( ": \n" ); document.write( "112 - 32 = 9m - 7m \n" ); document.write( ": \n" ); document.write( "80 = 2m \n" ); document.write( "m = \n" ); document.write( "m = 40 men \n" ); document.write( ": \n" ); document.write( ": \n" ); document.write( "Check solution; (w = 40 + 16) \n" ); document.write( "\"7 times the number of women exceeds 9 times the number of men by 32\" \n" ); document.write( "7(56) = 9(40) + 32 \n" ); document.write( "392 = 360 + 32 \n" ); document.write( " |