document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1029037>Question 1029037</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hello,<BR>\n" );
document.write( "I have a test tomorrow and I am stuck on a problem:\r<BR>\n" );
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document.write( "There are 80 workers with an average salary of 5500. <BR>\n" );
document.write( "There are 3 set salaries, 5100, 5400 and 5700. <BR>\n" );
document.write( "10 workers get 5100. How many get 5700?\r<BR>\n" );
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document.write( "I know that the answer is 50 but I am not sure how they got it.\r<BR>\n" );
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document.write( "Thanks.\r<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #644122 by </B><A HREF=/tutors/aboutme.mpl?userid=Boreal><B>Boreal(15235)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Boreal><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/cgi-bin/show-face.mpl?user=Boreal><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=644122\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The total salary is mean* number or 80*5500=440,000<BR>\n" );
document.write( "10 workers get 5100, so that is 51,000 removed<BR>\n" );
document.write( "the other 70 get one of two salaries<BR>\n" );
document.write( "x+y=70; x gets 5400, y gets 5700<BR>\n" );
document.write( "5400x+5700y=389,000, or what is left over.<BR>\n" );
document.write( "54x+57y=3890<BR>\n" );
document.write( "x+y=70<BR>\n" );
document.write( "-54x-57y=-3890, negating everything<BR>\n" );
document.write( "54x+54y=3780, multiplying the first by 54.  Now we can add them<BR>\n" );
document.write( "-3y=-110<BR>\n" );
document.write( "This doesn't give an integer.<BR>\n" );
document.write( "50 can't be the right answer:<BR>\n" );
document.write( "10@5100=51,000 total<BR>\n" );
document.write( "50@5700=285,000 total<BR>\n" );
document.write( "20@5400=108,000 total<BR>\n" );
document.write( "That adds to 444,000, not 440,000<BR>\n" );
document.write( "If the average salary were 5550 the answer would be 50.  As it stands here, there is no integer answer.\r<BR>\n" );
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