document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=70538>Question 70538</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Mr. flores is tiling the kitchen counter for his wife.  She wants a pattern with decorative tiles mixed in with plain tiles.  the plain tiles cost 60 cents a piece, and the decorative tiles cost $1.30 a piece.  They budgeted $300.00 for the tile, and the job will require 430 tiles in all.  What is the most number of decorative tiles that Mr. Flores can buy and still stay within budget? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #50354 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=50354\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Mr. flores is tiling the kitchen counter for his wife.  She wants a pattern with decorative tiles mixed in with plain tiles.  the plain tiles cost 60 cents a piece, and the decorative tiles cost $1.30 a piece.  They budgeted $300.00 for the tile, and the job will require 430 tiles in all.  What is the most number of decorative tiles that Mr. Flores can buy and still stay within budget?<BR>\n" );
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document.write( "Let number of plain tiles \"x\". Let number of decorative tiles be \"y\"<BR>\n" );
document.write( "EQUATIONS:<BR>\n" );
document.write( "1st: x+y=430<BR>\n" );
document.write( "2nd: 0.60x+1.30y=300<BR>\n" );
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document.write( "Multiply thru 2nd by 100 to get rid of the decimals:<BR>\n" );
document.write( "3rd: 60x+130y = 30000<BR>\n" );
document.write( "Solve 1st for x: x=430-y<BR>\n" );
document.write( "Substitute into 3rd to get:<BR>\n" );
document.write( "60(430-y) + 130y = 30000<BR>\n" );
document.write( "25800 - 60y + 130y = 30000<BR>\n" );
document.write( "70y = 4200<BR>\n" );
document.write( "y=60 (# of decorative tiles)<BR>\n" );
document.write( "430-y=430-60 = 370 (number of plain tiles)<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( " </SPAN>\n" );
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