document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=395510>Question 395510</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Greg's first three test scores were consecutive even integers.  His fourth score was 76.  If his test average on the four test scores was between 82 and 84, what was his lowest possible test score?\r<BR>\n" );
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document.write( "This is what I tried:\r<BR>\n" );
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document.write( "Let X= score of first test\r<BR>\n" );
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document.write( "test 1: x<BR>\n" );
document.write( "test 2: x+2<BR>\n" );
document.write( "test 3: x+4<BR>\n" );
document.write( "test 4: 76\r<BR>\n" );
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document.write( "82< [x+(x+2)+(x+4)+76] /4 <84<BR>\n" );
document.write( "82< (3x+82) /4 <84<BR>\n" );
document.write( "328< 3x +82 <336<BR>\n" );
document.write( "246< 3x <254<BR>\n" );
document.write( "82 < x <84.666\r<BR>\n" );
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document.write( "I don't know what I did wrong/ how to finish it. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #280677 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=280677\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Greg's first three test scores were consecutive even integers. <BR>\n" );
document.write( "You have to symbolize even integers as multiples of 2.<BR>\n" );
document.write( "1st: 2x-2<BR>\n" );
document.write( "2nd: 2x<BR>\n" );
document.write( "3rd: 2x+2<BR>\n" );
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document.write( "His fourth score was 76. <BR>\n" );
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document.write( "If his test average on the four test scores was between 82 and 84, what was his lowest possible test score?<BR>\n" );
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document.write( "Inequality:<BR>\n" );
document.write( "82 < [2x-2+2x+2x+2+76]/4 < 84<BR>\n" );
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document.write( "82 < [6x+76]/4 < 84<BR>\n" );
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document.write( "328 < 6x+76 < 336<BR>\n" );
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document.write( "252 < 6x < 260<BR>\n" );
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document.write( "42 < x < 43 1/3<BR>\n" );
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document.write( "His test scores:<BR>\n" );
document.write( "2x-2 = 2*43-2 = 84<BR>\n" );
document.write( "2x = 86<BR>\n" );
document.write( "2x+2 = 88<BR>\n" );
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document.write( "76 is the lowest of the 4 scores.<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.\r<BR>\n" );
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document.write( " </SPAN>\n" );
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