document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1207199>Question 1207199</A>: <I><SPAN STYLE=\"word-break: break-all;\"> tumi is selling two types of umbrellas.he sells type c at R45 a pair he sells type d at R30 .if he sold 16 pairs in total and had a totl income of R585,how many pairs of sock c did h did Sal sell?<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 #844935 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=844935\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br><BR>\n" );
document.write( "Umbrellas? or pairs of socks?<br><BR>\n" );
document.write( "Tumi? or Sal?<br><BR>\n" );
document.write( "I can't imagine how you would be so careless as to post a question the way you did....<br><BR>\n" );
document.write( "But the meaning is clear: there are two types of items, costing R45 and R30 each; and there are a total of 16 items with a total cost of R585.<br><BR>\n" );
document.write( "The setup for a formal algebraic solution would look something like this:<br><BR>\n" );
document.write( "c = # of items of type <BR>\n" );
document.write( "d = # of items of type d<br><BR>\n" );
document.write( "c+d = 16  [the total number of items is 16]<BR>\n" );
document.write( "45c+30d = 585  [the total cost is 585]<br><BR>\n" );
document.write( "Multiply the first equation by 30...<BR>\n" );
document.write( "30c+30d = 480<br><BR>\n" );
document.write( "... and find the difference between that result and the second equation:<br><BR>\n" );
document.write( "15c = 105<BR>\n" );
document.write( "c = 7<br><BR>\n" );
document.write( "ANSWER: c = 7 of type c and 16-7 = 9 of type d<br><BR>\n" );
document.write( "CHECK: 7(45)+9(30) = 315+270 = 585<br><BR>\n" );
document.write( "A quick, informal mental solution -- using exactly the same calculations -- can be obtained using logical reasoning:<br><BR>\n" );
document.write( "If all 16 items were type c, the total cost would be 16(30) = 480<BR>\n" );
document.write( "The actual total cost is 585, which is 105 higher<BR>\n" );
document.write( "The difference in cost between type c and type d is 15<BR>\n" );
document.write( "The number of items of the higher-priced type is 105/15 = 7.<br><BR>\n" );
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