document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=452923>Question 452923</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A hardware manufacturer makes 3 kinds of clamps, A, B, C. The production line makes 20 more C clamps than the total of the other types, and 3 times as many B  clamps than type A. The shop must produce 420 clamps per day. How many of each clamp does the factory make daily?<BR>\n" );
document.write( "I'd appreciate it if someone could help me. I can't even to begin to decipher this one. Thanks     </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #311308 by </B><A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><B>ankor@dixie-net.com(22740)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><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=ankor@dixie-net.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=311308\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A hardware manufacturer makes 3 kinds of clamps, A, B, C.<BR>\n" );
document.write( " The production line makes 20 more C clamps than the total of the other types,<BR>\n" );
document.write( " and 3 times as many B clamps than type A. <BR>\n" );
document.write( "The shop must produce 420 clamps per day. How many of each clamp does the factory make daily?<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Here's how to decipher this one, write an equation for each statement<BR>\n" );
document.write( ":<BR>\n" );
document.write( "\"The production line makes 20 more C clamps than the total of the other types,\"<BR>\n" );
document.write( "C + 20 = A + B<BR>\n" );
document.write( ":<BR>\n" );
document.write( "\"and 3 times as many B clamps than type A.\"<BR>\n" );
document.write( "B = 3A<BR>\n" );
document.write( ":<BR>\n" );
document.write( "\"The shop must produce 420 clamps per day.\"<BR>\n" );
document.write( "A + B + C = 420<BR>\n" );
document.write( ":<BR>\n" );
document.write( "We can replace A+B with C+20 (from the 1st statement)<BR>\n" );
document.write( "C + 20 + C = 420<BR>\n" );
document.write( "2C = 420 - 20<BR>\n" );
document.write( "2C = 400<BR>\n" );
document.write( "C = 200<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Then we have <BR>\n" );
document.write( "A + B = 420 - 200<BR>\n" );
document.write( "A + B = 220<BR>\n" );
document.write( "We know that B = 3A, therefore<BR>\n" );
document.write( "A + 3A = 220<BR>\n" );
document.write( "4A = 220<BR>\n" );
document.write( "A = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=220%2F4 ALIGN=MIDDLE  ALT=\"220%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "A = 55<BR>\n" );
document.write( ":<BR>\n" );
document.write( "I'll let you find B, check that the solutions add up to 420\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );