document.write( "Question 185604: the sum of the numerator and the denominator of a fraction is equal to 7 .four times the numerator is 8 less than 5 times the denominator . find the fraction? \n" ); document.write( "
Algebra.Com's Answer #139254 by ankor@dixie-net.com(22740) You can put this solution on YOUR website! the sum of the numerator and the denominator of a fraction is equal to 7 \n" ); document.write( "n + d = 7 \n" ); document.write( "or \n" ); document.write( "d = (7-n); use for substitution \n" ); document.write( ": \n" ); document.write( "four times the numerator is 8 less than 5 times the denominator \n" ); document.write( "4n = 5d - 8 \n" ); document.write( ": \n" ); document.write( "Substitute (7-n) for d in the above equation \n" ); document.write( "4n = 5(7-n) - 8 \n" ); document.write( "4n = 35 - 5n - 8 \n" ); document.write( "4n + 5n = 35 - 8 \n" ); document.write( "9n = 27 \n" ); document.write( "n = \n" ); document.write( "n = 3 \n" ); document.write( "then \n" ); document.write( "d = 7 - 3 = 4: \n" ); document.write( ": \n" ); document.write( " \n" ); document.write( ": \n" ); document.write( ": \n" ); document.write( "Check solution in the statement, \n" ); document.write( "\"four times the numerator is 8 less than 5 times the denominator\" \n" ); document.write( "4(3) = 5(4) - 8\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |