document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=929457>Question 929457</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Sally's quiz average in a class is exactly 84. After 5 consecutive scores of 100, her quiz average goes up to exactly 92. How many quiz scores does Sally have after the 5 consecutive 100s? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #564418 by </B><A HREF=/tutors/aboutme.mpl?userid=richard1234><B>richard1234(7193)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=richard1234><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=richard1234><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=564418\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Assuming the quizzes are equally weighted:\r<BR>\n" );
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document.write( "Let s = # quiz scores before the 5 scores of 100. Then 84s = sum of the scores, and 84s + 5*100 = 84s + 500 = the sum of her scores afterwards.\r<BR>\n" );
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document.write( "She now has s+5 quiz scores, so (84s + 500)/(s+5) = 92. Solving, s = 5.\r<BR>\n" );
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document.write( "Another way to see that she had 5 scores beforehand is to note that 92 is exactly halfway between 84 and 100. </SPAN>\n" );
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