document.write( "Question 81444: If one-half a number is subtracted from five-sixths of the number, the difference is 6. Find the number. \n" ); document.write( "
Algebra.Com's Answer #58329 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! : \n" ); document.write( "Let x = the number: \n" ); document.write( ": \n" ); document.write( "If one-half a number is subtracted from five-sixths of the number, the difference is 6. \n" ); document.write( " (5/6)x - (1/2)x = 6 \n" ); document.write( ": \n" ); document.write( "Find the number. \n" ); document.write( "Get rid of the denominators, multiply equation by 6, resulting in: \n" ); document.write( " 5x - 3x = 36 \n" ); document.write( " 2x = 36 \n" ); document.write( " x = 36/2 \n" ); document.write( " x = 18 \n" ); document.write( ": \n" ); document.write( ": \n" ); document.write( "Check solution x = 18: \n" ); document.write( "(5/6)18 - (1/2)18 = \n" ); document.write( " 15 - 9 = 6 \n" ); document.write( " \n" ); document.write( " |