document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1160938>Question 1160938</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A housewife purchases 5 liters of milk, 3 loaves of bread and 6 cans of tuna. She gives the cashier R200 and receives R54 change.\r<BR>\n" );
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document.write( "How much did all the items cost?\r<BR>\n" );
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document.write( "If a liter of milk costs R5 more than a can of tuna and a loaf of bread costs R2 less than a liter of milk, determine the cost of each item? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #784357 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=784357\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> all the items cost 200 minus 54 = 146.<BR>\n" );
document.write( "all of the money is in R$, so 146 means R146.<BR>\n" );
document.write( "1 liter of milk costs 5 more than a can of tuna.<BR>\n" );
document.write( "1 loaf of bread costs 2 less than a liter of milk.<BR>\n" );
document.write( "the housewife purchases 5 liters of milk, 3 loaves of bread, and 6 cans of tuna.<BR>\n" );
document.write( "let M equal the cost of a liter of milk.<BR>\n" );
document.write( "let T equal the cost of a can of tuna.<BR>\n" );
document.write( "let B equal the cost of a loaf of bread.<BR>\n" );
document.write( "you get:<BR>\n" );
document.write( "5M + 3B + 6T = 146.<BR>\n" );
document.write( "a liter of milk costs 5 more than a can of tuna and a loaf of bread costs 2 less than a liter of milk, therefore:<BR>\n" );
document.write( "M = T + 5.<BR>\n" );
document.write( "B = M - 2.<BR>\n" );
document.write( "from the first of these two equations, solve for T to get:<BR>\n" );
document.write( "T = M - 5<BR>\n" );
document.write( "the two equations become:<BR>\n" );
document.write( "T = M - 5<BR>\n" );
document.write( "B = M - 2<BR>\n" );
document.write( "the equation of 5M + 3B + 6T = 146 becomes:<BR>\n" );
document.write( "5M + 3(M-2) + 6(M-5) = 146<BR>\n" );
document.write( "simplify to get:<BR>\n" );
document.write( "5M + 3M - 6 + 6M - 30 = 146<BR>\n" );
document.write( "combine like terms to get:<BR>\n" );
document.write( "14M - 36 = 146<BR>\n" );
document.write( "add 36 to both sides of the equation to get:<BR>\n" );
document.write( "14M = 182<BR>\n" );
document.write( "solve for M to get:<BR>\n" );
document.write( "M = 182 / 14 = 13<BR>\n" );
document.write( "since T = M - 5, then T = 8<BR>\n" );
document.write( "since B = M - 2, then B = 11<BR>\n" );
document.write( "your original equation is 5M + 3B + 6T = 146.<BR>\n" );
document.write( "this becomes 5*13 + 3*11 + 6*8 = 146 which becomes 146 = 146, confirming the solution is correct.<BR>\n" );
document.write( "your solution is:<BR>\n" );
document.write( "the cost of a liter of milk is R13.<BR>\n" );
document.write( "the cost of a loaf of bread is R11.<BR>\n" );
document.write( "the cost of a can of tuna is R8.\r<BR>\n" );
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document.write( " </SPAN>\n" );
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