document.write( "Question 1170887: Last year there were 105 students divided evenly into a number of sections. This year,
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Algebra.Com's Answer #795770 by ikleyn(52946) $\"\"$ $\"About$

You can put this solution on YOUR website!
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document.write( "Wording is very poor in this post,\r\n" );
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document.write( "but, straining my guessing skills, I can imagine\r\n" );
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document.write( "     |    that were there n groups last year with x students in each,     |\r\n" );
document.write( "     |        with  nx = 105,                                             |\r\n" );
document.write( "     |    and that there are (n+2) groups this year with the same number  | \r\n" );
document.write( "     |    x of students in each group, with  (n+2)*x = 175.               |\r\n" );
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document.write( "If so, then I have two equation\r\n" );
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document.write( "     nx = 105         (1)\r\n" );
document.write( "and\r\n" );
document.write( "     (n+2)x = 175.    (2)\r\n" );
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document.write( "Subtracting equation (1) from equation (2), I get\r\n" );
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document.write( "    2x = 175 - 105 = 70;  hence  x = 70/2 = 35\r\n" );
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document.write( "and the number of groups last year was  n= 105/35 = 3.    ANSWER\r\n" );
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