document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1024516>Question 1024516</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Melvin and Philip have a collection of coins from Australia and New Zealand. Melvin and Philip have equal number of coins from Australia. 4/5 of Philip's coins are from Australia and 1/13 of Melvin's coins are from New Zealand. Given that both of them have a total of 12 coins from New Zealand, how many coins does each of them have ?<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 #639891 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><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=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=639891\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> let m = the coins that melvin has.<BR>\n" );
document.write( "let p = the coins that philip has.\r<BR>\n" );
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document.write( "4/5 of philip's coins are from australia.<BR>\n" );
document.write( "this means that 1/5 of philip's coins are from new zealand.\r<BR>\n" );
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document.write( "1/13 of melvin's coins are from new zealand.<BR>\n" );
document.write( "this means that 12/13 of melvin's coins are from australia.\r<BR>\n" );
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document.write( "you know that the total coins from new zealand are 12 and that they are split equally between melvin and philip.\r<BR>\n" );
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document.write( "this means that melvin has 6 and philip has 6 coins from new zealand.\r<BR>\n" );
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document.write( "since 1/5 of philip's coins come from new zealand, then you get 1/5 * p = 6.<BR>\n" );
document.write( "solve for p to get p = 30.\r<BR>\n" );
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document.write( "since 1/13 of melvin's coins are from new zealand, then you get 1/13 * m = 6.<BR>\n" );
document.write( "solve for m to get m = 78.\r<BR>\n" );
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document.write( "philip has 30 coins total.<BR>\n" );
document.write( "melvin has 78 coins total.\r<BR>\n" );
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document.write( "both of them have 108 coins total.\r<BR>\n" );
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document.write( "the breakdown is as follows:\r<BR>\n" );
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document.write( "melvin has 6 coins from new zealand and 72 coins from austraila.<BR>\n" );
document.write( "1/13 * 78 = 6<BR>\n" );
document.write( "12/13 * 78 = 72\r<BR>\n" );
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document.write( "philip has 6 coins from new zealand and 24 coins from australia.<BR>\n" );
document.write( "1/5 * 30 = 6<BR>\n" );
document.write( "4/5 * 30 = 24\r<BR>\n" );
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document.write( "if you were to draw a 2 dimensional table, it would look like this:\r<BR>\n" );
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document.write( "                 m                  p             t\r\n" );
document.write( "z                6                  6             12\r\n" );
document.write( "a                72                 24            96\r\n" );
document.write( "t                78                 30            108\r\n" );
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document.write( "</PRE>\r<BR>\n" );
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document.write( "m is the number of coins that melvin has.<BR>\n" );
document.write( "p is the number of coins that philip has.<BR>\n" );
document.write( "z is the number of coins from new zealand.<BR>\n" );
document.write( "a is the number of coins from australia.\r<BR>\n" );
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document.write( "t column is the total number of australian coins and the total number of new zealand coins.\r<BR>\n" );
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document.write( "t row on the bottom is the total number of coins that melvin has and the total number of coins that philip has.\r<BR>\n" );
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