document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1189232>Question 1189232</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The number of 5p coins in a money box is 2 less than three times the number of 10p coins.  If the total value of the coins is £4.40, how many 5p coins are there in the box? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #820539 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=820539\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br><BR>\n" );
document.write( "Informally....<br><BR>\n" );
document.write( "(You can get some good mental exercise by solving a problem like this using logical reasoning and mental arithmetic)<br><BR>\n" );
document.write( "(1) Add two more 5p coins, to make the number of 5p coins exactly 3 times the number of 10p coins, and making the total value £4.50 = 450p<BR>\n" );
document.write( "(2) Group the coins in groups of one 10p coin and three 5p coins, with a total value of 25p for each group<BR>\n" );
document.write( "(3) The number of those groups needed to make 450p is 450/25 = 18<BR>\n" );
document.write( "(4) The number of 10p coins is 18; the number of 5p coins is 3(18) = 54<BR>\n" );
document.write( "(5) Take away the \"extra\" two 5p coins, leaving 52<br><BR>\n" );
document.write( "ANSWER: 52 5p coins<br><BR>\n" );
document.write( "CHECK: 52(5)+18(10)=260+180=440<br><BR>\n" );
document.write( "Using formal algebra....<br><BR>\n" );
document.write( "let x = # of 10p coins<BR>\n" );
document.write( "then 3x-2 = # of 5p coins<br><BR>\n" );
document.write( "The total value is 440p:<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=10%28x%29%2B5%283x-2%29=440 ALIGN=MIDDLE  ALT=\"10%28x%29%2B5%283x-2%29=440\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=10x%2B15x-10=440 ALIGN=MIDDLE  ALT=\"10x%2B15x-10=440\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=25x=450 ALIGN=MIDDLE  ALT=\"25x=450\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=450%2F25=18 ALIGN=MIDDLE  ALT=\"x=450%2F25=18\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "ANSWER: 3x-2 = 54-2 = 52<br><BR>\n" );
document.write( " </SPAN>\n" );
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