document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=814647>Question 814647</A>: <I><SPAN STYLE=\"word-break: break-all;\"> you have 17 coins in pennies, nickels, and dimes in your pockets. the value of the coins is $0.47. There are four times the number of pennies as nickels. How many of each type of coin do you have? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #490423 by </B><A HREF=/tutors/aboutme.mpl?userid=LinnW><B>LinnW(1048)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=LinnW><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=LinnW><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=490423\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Set p = number of pennies<BR>\n" );
document.write( "    n = number of nickles<BR>\n" );
document.write( "    d = number of dimes<BR>\n" );
document.write( "p(1) + n(5) + d(10) = 47<BR>\n" );
document.write( "that is, the number of pennies x 1 cent + number nickles x 5 cents<BR>\n" );
document.write( "            + number of dimes x ten cents equals 47 cents<BR>\n" );
document.write( "p = 4n<BR>\n" );
document.write( "p + n + d = 17\r<BR>\n" );
document.write( "\n" );
document.write( "Substituting 4n for p in the above<BR>\n" );
document.write( "4n + n + d = 17<BR>\n" );
document.write( "5n + d = 17<BR>\n" );
document.write( "Subtract 5n from each side<BR>\n" );
document.write( "    d = 17 - 5n<BR>\n" );
document.write( "We will now substitute 4n for p and ( 17-5n ) for d in<BR>\n" );
document.write( "the equation<BR>\n" );
document.write( "p(1) + n(5) + d(10) = 47\r<BR>\n" );
document.write( "\n" );
document.write( "4n(1) +n(5) + (17-5n)(10) = 47<BR>\n" );
document.write( "  9n + 170 - 50n = 47<BR>\n" );
document.write( "  -41n + 170 = 47<BR>\n" );
document.write( "Subtract 170 from each side<BR>\n" );
document.write( "  -41n = 47 - 170<BR>\n" );
document.write( "  -41n = -123<BR>\n" );
document.write( "Divide each side by -41<BR>\n" );
document.write( "     n = 3<BR>\n" );
document.write( "Since p = 4n<BR>\n" );
document.write( "     p = 4(3)<BR>\n" );
document.write( "     p = 12<BR>\n" );
document.write( "Since p + n + d = 17<BR>\n" );
document.write( "     12 + 3 + d = 17<BR>\n" );
document.write( "     15 + d = 17<BR>\n" );
document.write( "       d = 2<BR>\n" );
document.write( "So we have 12 pennies, 3 nickles and 2 dimes<BR>\n" );
document.write( "   12 + 3(5) + 2(10) ?= 47<BR>\n" );
document.write( "   12 + 15 + 20 ?= 47<BR>\n" );
document.write( "Looks like it checks out. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );