document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=597014>Question 597014</A>: <I><SPAN STYLE=\"word-break: break-all;\"> terry did all 25 problems on his test and got an 85. scores are computed by giving 4 points for each right answer and subtracting one for each wrong answer. how many problems did terry get right and wrong? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #377982 by </B><A HREF=/tutors/aboutme.mpl?userid=math-vortex><B>math-vortex(648)</B></A><img src=\"/images/stars/stars-11.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=math-vortex><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=math-vortex><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=377982\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Hi, there-- <BR>\n" );
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document.write( "Let x be the number of problems Terry got right.<BR>\n" );
document.write( "Let y be the number of problems Terry got wrong.<BR>\n" );
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document.write( "Since a right answer adds 4 points, the number of points for right answers is 4x.<BR>\n" );
document.write( "Since a wrong answer subtracts 1 point, the number of points for wrong answers is -y.<BR>\n" );
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document.write( "The total number of problems (right and wrong) is 25, so<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2By=25 ALIGN=MIDDLE  ALT=\"x%2By=25\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "The total score (points for right answers minus points for wrong) is 85, so<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4x%2B%28-y%29=85 ALIGN=MIDDLE  ALT=\"4x%2B%28-y%29=85\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "Solve the system of equations using substitution. Rewrite the first equation in terms of y.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2By=25 ALIGN=MIDDLE  ALT=\"x%2By=25\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=25-x ALIGN=MIDDLE  ALT=\"y=25-x\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "Substitute 25-x for y in the second equation.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4x%2B%28-y%29=85 ALIGN=MIDDLE  ALT=\"4x%2B%28-y%29=85\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4x%2B%28-%2825-x%29%29=85 ALIGN=MIDDLE  ALT=\"4x%2B%28-%2825-x%29%29=85\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "Simplify.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4x-25%2Bx=85 ALIGN=MIDDLE  ALT=\"4x-25%2Bx=85\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5x-25=85 ALIGN=MIDDLE  ALT=\"5x-25=85\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5x=85%2B25 ALIGN=MIDDLE  ALT=\"5x=85%2B25\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5x=110 ALIGN=MIDDLE  ALT=\"5x=110\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=22 ALIGN=MIDDLE  ALT=\"x=22\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "Terry has 22 right answers.<BR>\n" );
document.write( "Terry has 25-22=3 wrong answers.<BR>\n" );
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document.write( "CHECK<BR>\n" );
document.write( "Does this combination give a score of 85? 22*4=88 and 3*(-1)=-3. 88-3=85...YES!<BR>\n" );
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document.write( "That's it. Feel free to email via gmail if you have questions about this solution.<BR>\n" );
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document.write( "Ms.Figgy<BR>\n" );
document.write( "math.in.the.vortex@gmail.com </SPAN>\n" );
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