document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=100427>Question 100427</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/0130266426/algebrahomeworkh></A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> Juanita's spelling average was between 80 and 90. if she scored eight points more on the second test than on the first test and 5 points less on the third test than on the first test. what scores are possible for the first test  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #73158 by </B><A HREF=/tutors/aboutme.mpl?userid=joyofmath><B>joyofmath(189)</B></A><img src=\"/images/stars/stars-09.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=joyofmath><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=73158\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let t1, t2, and t3 be the scores on tests 1, 2, and 3.\r<BR>\n" );
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document.write( "If Juanita's average was between 80 and 90 then her TOTAL for the three tests was between 240 and 270.\r<BR>\n" );
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document.write( "So, 240 <= t1+t2+t3 <= 270\r<BR>\n" );
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document.write( "J scored 8 points higher on the 2nd test than the 1st, so t2=t1+8<BR>\n" );
document.write( "J scored 5 points less on the 3rd test than the 1st, so t3=t1-5\r<BR>\n" );
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document.write( "So, 240 <= t1+(t1+8)+(t1-5) <= 270<BR>\n" );
document.write( "Or, 240 <= 3*t1+8-5 <= 270<BR>\n" );
document.write( "Or, 240 <= 3*t1+3 <= 270<BR>\n" );
document.write( "Or, 240 <= 3*(t1+1) <= 270<BR>\n" );
document.write( "Or, 80 <= t1+1 <= 90<BR>\n" );
document.write( "Or, 79 <= t1 <= 89\r<BR>\n" );
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document.write( "So, J scored between 79 and 89 on the 1st test. </SPAN>\n" );
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