document.write( "Question 476115: 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 #326517 by ankor@dixie-net.com(22740)\"\" \"About 
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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.
\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 s = total number of students
\n" ); document.write( "Let b = original number of boys
\n" ); document.write( ":
\n" ); document.write( "\"the percentage of boys in a particular class is 60%.\"
\n" ); document.write( "b = .6s
\n" ); document.write( ":
\n" ); document.write( "\"six girls move away, and are replaced in the class by six boys; this makes the class roster 75% boys.\"
\n" ); document.write( "b + 6 = .75s
\n" ); document.write( "Replace b with .6s
\n" ); document.write( ".6s + 6 = .75s
\n" ); document.write( "6 = .75s - .6s
\n" ); document.write( "6 = .15s
\n" ); document.write( "s = \"6%2F.15\"
\n" ); document.write( "s = 40 students total
\n" ); document.write( "then
\n" ); document.write( ".6(40) = 24 boys originally
\n" ); document.write( "and
\n" ); document.write( ".4(40) = 16 girls originally \n" ); document.write( "
\n" );