document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=623461>Question 623461</A>: <I><SPAN STYLE=\"word-break: break-all;\"> On a certain project the only grades awarded were 75 and 100.If 85 students completed the project and the average of their grades was 85,how many earned 100? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #392148 by </B><A HREF=/tutors/aboutme.mpl?userid=MathTherapy><B>MathTherapy(10552)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=MathTherapy><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=MathTherapy><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=392148\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> On a certain project the only grades awarded were 75 and 100.If 85 students completed the project and the average of their grades was 85,how many earned 100?\r<BR>\n" );
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document.write( "Eighty-five students with an average of 85 means that their total score is 7,225 (85 * 85)\r<BR>\n" );
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document.write( "Let the amount of students who received grades of 75 and 100 be S and H, respectively\r<BR>\n" );
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document.write( "Then S + H = 85 ------ S = 85 – H ------ eq (i)<BR>\n" );
document.write( "Also, 75S + 100H = 7,225 ------ eq (ii)<BR>\n" );
document.write( "75(85 – H) + 100H = 7,225 ------- Substituting 85 – H for S in eq (ii)<BR>\n" );
document.write( "6,375 – 75H + 100H = 7,225<BR>\n" );
document.write( "6,375 + 25H = 7,225<BR>\n" );
document.write( "25H = 7,225 – 6,375<BR>\n" );
document.write( "25H = 850<BR>\n" );
document.write( "H, or amount of students who received hundreds = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=850%2F25 ALIGN=MIDDLE  ALT=\"850%2F25\"   DISABLED_style= \"max-width:90%; height:auto;\" >, or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight_green%2834%29 ALIGN=MIDDLE  ALT=\"highlight_green%2834%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Send comments and “thank-yous” to “D” at  MathMadEzy@aol.com </SPAN>\n" );
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