document.write( "Question 327487: On the first day of school, the percentage of boys in a particular class is 60%. During the school year, six girls move away, and are replaced in the class by six boys; this makes the class roster 75% boys. Find the number of boys and girls in the class on the first day of school. \n" ); document.write( "
Algebra.Com's Answer #234578 by ankor@dixie-net.com(22740) You can put this solution on YOUR website! On the first day of school, the percentage of boys in a particular class is 60%. \n" ); document.write( " During the school year, six girls move away, and are replaced in the class by six boys; this makes the class roster 75% boys. \n" ); document.write( " Find the number of boys and girls in the class on the first day of school. \n" ); document.write( ": \n" ); document.write( "Let x = no. in the class on the 1st day of school \n" ); document.write( "then \n" ); document.write( ".6x = no. of boys on the 1st day \n" ); document.write( "and \n" ); document.write( ".4x = no. of girls on the 1st day \n" ); document.write( ": \n" ); document.write( ".75x = .6x+6 \n" ); document.write( ".75x - .60x = 6 \n" ); document.write( ".15x = 6 \n" ); document.write( "x = \n" ); document.write( "x = 40 is the no. on the 1st day of school \n" ); document.write( ": \n" ); document.write( ": \n" ); document.write( "Check solution by using the no. of girls \n" ); document.write( ".25x = .4x - 6 \n" ); document.write( ".25x - .4x = 6 \n" ); document.write( ".15x = 6 \n" ); document.write( " x = 40, confirms our solution of 40 students \n" ); document.write( " |