document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=839008>Question 839008</A>: <I><SPAN STYLE=\"word-break: break-all;\"> FIND ALL POSSIBLE SOLUTIONS \r<BR>\n" );
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document.write( "Shopping for gifts Last Christmas, Miriam Bought 4 More DVDs Than GAMES and 3 times as many CDs and GAMES combined. Altogether she bought 15 of the Three Items. How many of each did she buy?\r<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #805943 by </B><A HREF=/tutors/aboutme.mpl?userid=CubeyThePenguin><B>CubeyThePenguin(3113)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=CubeyThePenguin><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=CubeyThePenguin><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=805943\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> d = number of DVDs<BR>\n" );
document.write( "g = number of games<BR>\n" );
document.write( "c = number of CDs\r<BR>\n" );
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document.write( "d = g + 4 = 3(c + g)<BR>\n" );
document.write( "d + c + g = 15\r<BR>\n" );
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document.write( "Substitute d into the second equation.\r<BR>\n" );
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document.write( "(g + 4) + c + g = 15<BR>\n" );
document.write( "c + 2g = 11\r<BR>\n" );
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document.write( "3(c + g) + c + g = 15<BR>\n" );
document.write( "4c + 4g = 15\r<BR>\n" );
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document.write( "Use any method (substitution, elimination) to solve for c or g. We will use substitution: c = 11 - 2g.\r<BR>\n" );
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document.write( "4(11 - 2g) + 4g = 15<BR>\n" );
document.write( "44 - 8g + 4g = 15<BR>\n" );
document.write( "-4g = -29\r<BR>\n" );
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document.write( "The solution is not an integer. </SPAN>\n" );
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