document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=859431>Question 859431</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hi! I'm having some difficulty understanding how this question was worked out because it is not shown. Can you please explain it to me?<BR>\n" );
document.write( "Thank you so much for your help in advanced!\r<BR>\n" );
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document.write( "The question states, \"Three girls are playing Scrabble. At the end of the game, the total of their scores add up to 504. Annie scores 10% more than Benita, while Cham scores 60% of the combined scores of the other two. What did each player score?\"\r<BR>\n" );
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document.write( "The answers to this questions are:<BR>\n" );
document.write( "A = 177<BR>\n" );
document.write( "B = 161<BR>\n" );
document.write( "C = 202 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #517755 by </B><A HREF=/tutors/aboutme.mpl?userid=Awesom3guy><B>Awesom3guy(31)</B></A><img src=\"/images/stars/stars-07.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Awesom3guy><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=517755\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Oh, great. You screwed me :P<BR>\n" );
document.write( "You meant 540! Not 504. I got 150 and figured out something isn't right. Then I saw the answers add up to 540... Be a little more careful with the numbers. The answer kinda depends on them :) So let's go:\r<BR>\n" );
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document.write( "You have three unknown things: Annie's, Benita's, and Cham's points.<BR>\n" );
document.write( "So you will set up three equations with three variables to solve for (A, B, and C for their names, how convenient.\r<BR>\n" );
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document.write( "At the end of the game, the total of their scores add up to 540.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A+%2B+B+%2B+C+=+540 ALIGN=MIDDLE  ALT=\"A+%2B+B+%2B+C+=+540\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Annie scores 10% more than Benita.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A+=+1.1B ALIGN=MIDDLE  ALT=\"A+=+1.1B\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Cham scores 60% of the combined scores of the other two.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=C+=+0.6%28A+%2B+B%29 ALIGN=MIDDLE  ALT=\"C+=+0.6%28A+%2B+B%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "As A equals 1.1B from the second equation, you plug in 1.1B in the place of A in the other two equations.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1.1B+%2B+B+%2B+C+=+540 ALIGN=MIDDLE  ALT=\"1.1B+%2B+B+%2B+C+=+540\"   DISABLED_style= \"max-width:90%; height:auto;\" > or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2.1B+%2B+C+=+540 ALIGN=MIDDLE  ALT=\"2.1B+%2B+C+=+540\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=C+=+0.6%281.1B+%2B+B%29 ALIGN=MIDDLE  ALT=\"C+=+0.6%281.1B+%2B+B%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=C+=+1.26B ALIGN=MIDDLE  ALT=\"C+=+1.26B\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "As you see, A is eliminated here and you have a system of two equations, where you solve for B and C.\r<BR>\n" );
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document.write( "Plug in <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1.26B ALIGN=MIDDLE  ALT=\"1.26B\"   DISABLED_style= \"max-width:90%; height:auto;\" > in the place of C in the first equation:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2.1B+%2B+1.26B+=+540 ALIGN=MIDDLE  ALT=\"2.1B+%2B+1.26B+=+540\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3.36B+=+540 ALIGN=MIDDLE  ALT=\"3.36B+=+540\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=B+=+160.7 ALIGN=MIDDLE  ALT=\"B+=+160.7\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Um... I'm not sure how this is supposed to turn up but I guess they rounded it off, which makes sense.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=B+=+161 ALIGN=MIDDLE  ALT=\"B+=+161\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A+=+1.1B ALIGN=MIDDLE  ALT=\"A+=+1.1B\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A+=+177.1 ALIGN=MIDDLE  ALT=\"A+=+177.1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A+=+177 ALIGN=MIDDLE  ALT=\"A+=+177\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=C+=+540+-+A+-+B ALIGN=MIDDLE  ALT=\"C+=+540+-+A+-+B\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=C+=+202 ALIGN=MIDDLE  ALT=\"C+=+202\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Annie got  177 pts, Benita 161 and Cham 202.\r<BR>\n" );
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document.write( "Check... Do they add up to 540? they do.\r<BR>\n" );
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document.write( "Is Annie's score 110% of Benita's?<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=177%2F161+=+1.099+=+110%25 ALIGN=MIDDLE  ALT=\"177%2F161+=+1.099+=+110%25\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Is Cham's score 60% of Annie's and Benita's together?<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=202%2F%28161+%2B+177%29+=+0.597+=+60%25 ALIGN=MIDDLE  ALT=\"202%2F%28161+%2B+177%29+=+0.597+=+60%25\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "(rounded)\r<BR>\n" );
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document.write( "All good! </SPAN>\n" );
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