document.write( "Question 1083725: There are 34 learners in a grade 9 class. The class register shows that there are 4 more girls than boys. How many boys are there in the class? \n" ); document.write( "
Algebra.Com's Answer #697749 by jim_thompson5910(35256)![]() ![]() ![]() You can put this solution on YOUR website! \n" ); document.write( "Answer: 15 boys in the class \n" ); document.write( "Extra info: there are 19 girls (four more than the boys). Note how 15+19 = 34 \n" ); document.write( "----------------------------------------------------------------------------- \n" ); document.write( "-----------------------------------------------------------------------------\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Explanation:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Let \n" ); document.write( "x = number of boys \n" ); document.write( "y = number of girls\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "There are 34 students meaning that \n" ); document.write( "x+y = 34\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "There are 4 more girls than boys, so \n" ); document.write( "y = x+4\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Plug the second equation into the first and solve for x \n" ); document.write( "x+y = 34 \n" ); document.write( "x+x+4 = 34 \n" ); document.write( "2x+4 = 34 \n" ); document.write( "2x+4-4 = 34-4 \n" ); document.write( "2x = 30 \n" ); document.write( "2x/2 = 30/2 \n" ); document.write( "x = 15 \n" ); document.write( "There are 15 boys.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "We have the answer so we can stop here. As extra bit of info, you can plug x = 15 into the equation y = x+4 to find the number of girls \n" ); document.write( "y = x+4 \n" ); document.write( "y = 15+4 \n" ); document.write( "y = 19 \n" ); document.write( "There are 19 girls.\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |