document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1105577>Question 1105577</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Cheryl is redoing her bathroom and has selected ceramic tiles for the 5 foot by 8 foot bathroom floor. The plain 6-inch square tiles cost 75 cents each; the decorative 2-inch squares cost $1.25 each. If Cheryl's total cost for the flooring is to be $246, how many decorative tiles can she get?\r<BR>\n" );
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document.write( "A) 108<BR>\n" );
document.write( "B) 148<BR>\n" );
document.write( "C) 209<BR>\n" );
document.write( "D) 241\r<BR>\n" );
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document.write( "I know the answer is A but I have no idea why. Thanks!<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 #720437 by </B><A HREF=/tutors/aboutme.mpl?userid=greenestamps><B>greenestamps(13200)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=greenestamps><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=greenestamps><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=720437\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br><BR>\n" );
document.write( "Let x be the number of decorative 2x2 inch tiles<BR>\n" );
document.write( "Let y be the number of plain 6x6 inch tiles<br><BR>\n" );
document.write( "In square inches, the area of each decorative tile is 4; the area of each plain tile is 36; the area of the whole floor is 60*96 = 5760:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4x%2B36y+=+5760 ALIGN=MIDDLE  ALT=\"4x%2B36y+=+5760\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2B9y+=+1440 ALIGN=MIDDLE  ALT=\"x%2B9y+=+1440\"   DISABLED_style= \"max-width:90%; height:auto;\" >  [divide by the common factor of 4]<br><BR>\n" );
document.write( "The cost of each decorative tile is $1.25; the cost of each plain tile is $0.75; the total cost is $246:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1.25x%2B.75y+=+246 ALIGN=MIDDLE  ALT=\"1.25x%2B.75y+=+246\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5x%2B3y+=+984 ALIGN=MIDDLE  ALT=\"5x%2B3y+=+984\"   DISABLED_style= \"max-width:90%; height:auto;\" >  [multiply by 4 to get rid of the decimals]<br><BR>\n" );
document.write( "The problem asks for x, the number of decorative tiles she can get; so use elimination with equations (1) and (2) to eliminate y.  Multiply equation (2) by 3 and subtract equation (1):<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=15x%2B9y+=+2952 ALIGN=MIDDLE  ALT=\"15x%2B9y+=+2952\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2B9y+=+1440 ALIGN=MIDDLE  ALT=\"x%2B9y+=+1440\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=14x+=+1512 ALIGN=MIDDLE  ALT=\"14x+=+1512\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+1512%2F14+=+108 ALIGN=MIDDLE  ALT=\"x+=+1512%2F14+=+108\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );