document.write( "Question 1201990: There are 22 students in a music class in a school. Students in the class are either Freshmen or Sophomore, 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 #836624 by ikleyn(52864) $\"\"$ $\"About$

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\n" ); document.write( "There are 22 students in a music class in a school.
\n" ); document.write( "Students in the class are either Freshmen or Sophomore, and there are 6 more boys than girls.
\n" ); document.write( "If there are 5 Freshmen boys and 4 Sophomore girls, how many Sophomores are in the class?
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\n" ); document.write( "\n" ); document.write( "It can be solved in three simple steps.\r
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document.write( "             Step 1 - determine how many boys are in the class\r\n" );
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document.write( "Let \"b\" be the number of boys in the class. \r\n" );
document.write( "Then the number of girls is (b-6).\r\n" );
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document.write( "The total students equation is\r\n" );
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document.write( "    b + (b-6) = 22,\r\n" );
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document.write( "which gives\r\n" );
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document.write( "    2b = 22 + 6,  2b = 28,  b = 28/2 = 14.  So, there are 14 boys in the class, in all.\r\n" );
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document.write( "             Step 2 - determine how many boys are the Sophomores\r\n" );
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document.write( "From total 14 boys, subtract 5 Freshmen boys and get 14-5 = 9 Sophomores boys.\r\n" );
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document.write( "             Step 3 - determine how many Sophomores are in the class\r\n" );
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document.write( "Add 4 Sophomore girls and 9 Sophomores boys to get 4+9 = 13 Sophomores in the class, in total.\r\n" );
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document.write( "ANSWER.  There are 13 Sophomores in the class, in all.\r\n" );
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