document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1204895>Question 1204895</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Katy, Mary and Emma make 43 cakes in total. The number of cakes that Mary makes is 7 less than that Katy makes and 3 less than three times the number of cakes that Emma makes. Find the number of cakes that each of them makes. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #841430 by </B><A HREF=/tutors/aboutme.mpl?userid=mananth><B>mananth(16946)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=mananth><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=mananth><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=841430\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Katy, Mary and Emma make 43 cakes in total. The number of cakes that Mary makes is 7 less than that Katy makes and 3 less than three times the number of cakes that Emma makes. Find the number of cakes that each of them makes.\r<BR>\n" );
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document.write( "E = cakes made by E<BR>\n" );
document.write( "K= cakes made by Katy<BR>\n" );
document.write( "M cakes made by Emma\r<BR>\n" );
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document.write( "The total number of cakes is 43<BR>\n" );
document.write( "E +K+M=43<BR>\n" );
document.write( "The number of cakes that Mary is 3 less than three times the number of cakes that Emma makes\r<BR>\n" );
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document.write( "M= 3E-3<BR>\n" );
document.write( "E= (M+3)/3\r<BR>\n" );
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document.write( "The number of cakes that Mary makes is 7 less than that Katy makes<BR>\n" );
document.write( "M=K-7<BR>\n" );
document.write( "K= M+7\r<BR>\n" );
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document.write( "Mary =M\r<BR>\n" );
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document.write( "M+K+E=43\r<BR>\n" );
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document.write( "M+M+7+ (M+3)/3 =43\r<BR>\n" );
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document.write( "Multiply by 3\r<BR>\n" );
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document.write( "3M+3M+21+M+3= 129\r<BR>\n" );
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document.write( "7M+24=129\r<BR>\n" );
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document.write( "7M = 129-24\r<BR>\n" );
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document.write( "7M = 105\r<BR>\n" );
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document.write( "divide by 7<BR>\n" );
document.write( "M= 15\r<BR>\n" );
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document.write( "M=K-7\r<BR>\n" );
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document.write( "K= M+7 = 22\r<BR>\n" );
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document.write( "E=(M+3)/3= (15+3)/3= 6\r<BR>\n" );
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document.write( "Emma  makes 6<BR>\n" );
document.write( "Katy makes 22<BR>\n" );
document.write( "Mary makes 15\r<BR>\n" );
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document.write( "6+22+15= 43\r<BR>\n" );
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document.write( " </SPAN>\n" );
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