document.write( "Question 1202097: There are 22 students in a music class in a school. The students in the class are either Freshmen or Sophomores, and there are 6 more boys than girls. If there are 5 Freshmen boys and 4 Sophomore girls, how many Sophomores are in the class? \n" ); document.write( "
Algebra.Com's Answer #836733 by Theo(13342) You can put this solution on YOUR website! i get 13 sophomores.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "you are given that there are 22 students total. \n" ); document.write( "you are given that there are 6 more boys than girls. \n" ); document.write( "you are given that there are freshmen boys and 4 sophomore girls. \n" ); document.write( "let b = number of boys and g = number of girls. \n" ); document.write( "you get b + g = 22 \n" ); document.write( "since b = g + 6, you get g + 6 + g = 22. \n" ); document.write( "combine like terms to get 2g + 6 = 22 \n" ); document.write( "subtract 6 from both sides of the equation to get 2g = 16 \n" ); document.write( "solve for g to get g = 8. \n" ); document.write( "since b = g + 6, then b = 14 \n" ); document.write( "since 5 boys are freshmen, then 9 boys must be sophomores. \n" ); document.write( "since 4 girls are sophomores, then 4 girls must be freshmen. \n" ); document.write( "the freshman class has 5 boys and 4 girls = 9 total. \n" ); document.write( "the sophomore class has 9 boys and 4 girls = 13 total. \n" ); document.write( "the number of sophomores in the class is equal to 13. \n" ); document.write( "i made a chart that you see below: \n" ); document.write( " \r\n" ); document.write( " freshmen sophomores total\r\n" ); document.write( "boys 5 9 14\r\n" ); document.write( "girls 4 4 8\r\n" ); document.write( "total 9 13 22\r\n" ); document.write( " \n" ); document.write( "looks good to me. \n" ); document.write( "hopefully you agree. \n" ); document.write( " \n" ); document.write( " |