document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=96702>Question 96702</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A bakery offers 32 types of cakes and cookies. If there are 6 more types of cookies than cakes, how many types of cakes are available? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #70417 by </B><A HREF=/tutors/aboutme.mpl?userid=ptaylor><B>ptaylor(2198)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ptaylor><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=ptaylor><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=70417\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let x=number of types of cakes<BR>\n" );
document.write( "Then x+6=number of types of cookies\r<BR>\n" );
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document.write( "Now we are told that:\r<BR>\n" );
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document.write( "x+x+6=32  subtract 6 from both sides\r<BR>\n" );
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document.write( "x+x+6-6=32-6  collect like terms<BR>\n" );
document.write( "2x=26  divide both sides by 2\r<BR>\n" );
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document.write( "x=13---------------------number of types of cakes\r<BR>\n" );
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document.write( "x+6=13+6=19------------------number of types of cookies\r<BR>\n" );
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document.write( "CK<BR>\n" );
document.write( "13+19=32<BR>\n" );
document.write( "32=32\r<BR>\n" );
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document.write( "also 19 is 6 more than 13\r<BR>\n" );
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document.write( "Another way:\r<BR>\n" );
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document.write( "Let x=number of types of cakes<BR>\n" );
document.write( "And y=number of types of cookies\r<BR>\n" );
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document.write( "Now we are told that x+y=32--------------------------eq1\r<BR>\n" );
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document.write( "We are also told that y=x+6--------------------------eq2\r<BR>\n" );
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document.write( "Rearrange eq2 by subtracting x from both sides and we get:\r<BR>\n" );
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document.write( "y-x=6--------------------------------eq2\r<BR>\n" );
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document.write( "Add eq1 and eq2:<BR>\n" );
document.write( "2y=38  divide both sides by 2\r<BR>\n" );
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document.write( "y=19--------------------number of types of cookies\r<BR>\n" );
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document.write( "substitute y=19 into eq1<BR>\n" );
document.write( "x+19=32  subtract 19 from both sides<BR>\n" );
document.write( "x+19-19=32-19  collect like terms<BR>\n" );
document.write( "x=13---------------------------------number of types of cakes\r<BR>\n" );
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document.write( "Hope this helps---ptaylor<BR>\n" );
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