document.write( "Question 1204936: A drama class has a total of 44 students. The number of males is 8 more than the number of females. How many males and how many females are in the class?
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Algebra.Com's Answer #841479 by ikleyn(52810)![]() ![]() You can put this solution on YOUR website! . \n" ); document.write( " \r\n" ); document.write( "\r\n" ); document.write( "Let M be the number of males \r\n" ); document.write( "and F be the number of females.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "Write two equations as you read the problem\r\n" ); document.write( "\r\n" ); document.write( " M + F = 44 (1) (a total of 44 students)\r\n" ); document.write( "\r\n" ); document.write( " M - F = 8 (2) (The number of males is 8 more than the number of females)\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "Add equations (1) and (2) (both sides). You will get\r\n" ); document.write( "\r\n" ); document.write( " 2M = 44 + 8 = 52.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "Hence, M = 52/2 = 26.\r\n" ); document.write( "\r\n" ); document.write( "Then from equation (1), F = 44-26 = 18.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "?ANSWER. 26 males, 18 females.\r\n" ); document.write( "\r \n" ); document.write( "\n" ); document.write( "Other solution methods are applicable and possible, too,\r \n" ); document.write( "\n" ); document.write( "but this one is the most educative (in my point of view).\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "----------------\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "If you want to see many other similar (and different) solved problems of this kind with explanations, \n" ); document.write( "look into the lesson\r \n" ); document.write( "\n" ); document.write( " - Word problems that lead to a simple system of two equations in two unknowns \r \n" ); document.write( "\n" ); document.write( "in this site.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Learn the subject from there and become a best student in the class / (in the school) / (in the district).\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |