document.write( "Question 184202: There are an equal number of boys and girls in a class. If there were 6 fewer boys and 6 more girls, there would be twice as many girls as boys. How many students are in the class? \n" ); document.write( "
Algebra.Com's Answer #138238 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! There are an equal number of boys and girls in a class. If there were 6 fewer boys and 6 more girls, there would be twice as many girls as boys. How many students are in the class? \n" ); document.write( ": \n" ); document.write( "Let b = no. of boys \n" ); document.write( " & \n" ); document.write( "g = no. of girls \n" ); document.write( ": \n" ); document.write( "(g + 6) = 2(b - 6) \n" ); document.write( "g + 6 = 2b - 12 \n" ); document.write( "g = 2b - 12 - 6 \n" ); document.write( "g = 2b - 18 \n" ); document.write( "we know b = g, therefore: \n" ); document.write( "b = 2b - 18 \n" ); document.write( "b - 2b = -18 \n" ); document.write( "-b = -18 \n" ); document.write( "b = 18 boys and 18 girls, a total of 36 in the class \n" ); document.write( ": \n" ); document.write( ": \n" ); document.write( "check: (18+6) = 2(18-6) \n" ); document.write( " |