document.write( "Question 143132: 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.\r
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document.write( "Any help with this word problem would be appreciated. \n" );
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Algebra.Com's Answer #104194 by pcsp_kumat(6)![]() ![]() ![]() You can put this solution on YOUR website! no. of boys on first day=24 \n" ); document.write( "no.of girls on first day=16 \n" ); document.write( "total no. of students=40\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "solution: \n" ); document.write( "let total no. of students on first day be=x \n" ); document.write( "no.of boys will be=60% of x \n" ); document.write( " =60*x/100 \n" ); document.write( " =3x/5 \n" ); document.write( "no.of boys after changes=75% [as no. of students remain same ] \n" ); document.write( " =75%of x \n" ); document.write( " =75*x/100 \n" ); document.write( " =3x/4 \n" ); document.write( "changes in boys=+6students \n" ); document.write( " \r \n" ); document.write( "\n" ); document.write( "so [on first day]+[changes]=[after changes] \n" ); document.write( " =3x/5 +6 =3x/4 \n" ); document.write( " =[3x+30]/5 =3x/4 [then cross multiplication] \n" ); document.write( " =12x+120=15x [transposing] \n" ); document.write( " =120=15x -12x \n" ); document.write( " =3x =120 \n" ); document.write( " =x =40\r \n" ); document.write( "\n" ); document.write( "on first day [boys]=60%of40=24 \n" ); document.write( " remaining[girls] =40% of 40 =16 \n" ); document.write( " |