document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1149973>Question 1149973</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A company is to construct a parking bay whose area is 135 square meters. it is to be covered with a concrete slab of uniform thickness of 0.15 meters. to make the slab,cement, ballast and sand are to be mixed so that their masses are in the ratio 1:4:4 the mass of 1 cubic meter of dry slab is 2,500 kilogram<BR>\n" );
document.write( "A) calculate i)the volume of the slab<BR>\n" );
document.write( "             ii)the mass of the dry slab<BR>\n" );
document.write( "             iii)the mass of cement to be used<BR>\n" );
document.write( "B)If one bag of cement is 50 kilogram, find the number of bags to be purchased<BR>\n" );
document.write( "C) if a lorry carries 7 tonnes of sand, calculate the number of lorries of sand to be purchased.  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #771314 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=771314\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> the parking bay area is 135 square meters.<BR>\n" );
document.write( "it is to be covered by a concrete slab of .15 meters of uniform thickness.<BR>\n" );
document.write( "to make the slab, cement, ballast, and sand are to be mixed in the ratios of 1:4:4.<BR>\n" );
document.write( "the mass of 1 cubic meter of dry slab is 2500 kilograms.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "the volume of the slab is .15 * 135 = 20.25 cubic meters.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "the mass of the dry slab is 20.25 cubic meters * 2500 kilograms per cubic meter = 50625 kilograms.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "since the masses of cement:ballast:sand are in the ratio of 1:4:4, then the mass of the cement is equal to 1/9 * the mass of the mixture = 5625 kilograms.<BR>\n" );
document.write( "with each bag cement weighing 50 kilograms, the number of bags of cement require are 5625 / 50 = 112.5\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "1 tonne = 1 metric ton = 1000 kilograms.<BR>\n" );
document.write( "1 lorry = 7 tonnes = 7000 kilograms.<BR>\n" );
document.write( "number of kilograms of sand is equal to 4/9 * 50625 = 22500 kilograms.<BR>\n" );
document.write( "number of lorries required is 22500 / 7000 = 3.214285714.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "the ratio of cement to ballast is 5625 / 22500 * (1/5625) / (1/5625) =  1/4.<BR>\n" );
document.write( "the ratio of ballast to sand is 22500 / 22500 * (1/5625) / (1/5625) = 4/4.<BR>\n" );
document.write( "the ratio of cement to total is equal to 1 / (1 + 4 + 4) = 1/9.<BR>\n" );
document.write( "the ratio of ballast to total is equal to 4 / (1 + 4 + 4) = 4/9.<BR>\n" );
document.write( "the ratio of sand to total is equal to 4 / (1 + 4 + 4) = 4/9.<BR>\n" );
document.write( "the ratios are by mass, therefore:<BR>\n" );
document.write( "the mass of the cement is 1/9 * 50625 = 5625 kilograms.<BR>\n" );
document.write( "the mass of the ballast is 4/9 * 50625 = 22500 kilograms.<BR>\n" );
document.write( "the mass of the sand is 4/9 * 50625 = 22500 kilograms.<BR>\n" );
document.write( "the sum of all 9 parts is equal to 50625.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "that's what i get.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );