document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=901494>Question 901494</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A jar contains pennies, nickels, dimes and quarters. There are 3 times as many pennies as dimes, half as many nickels as quarters, and 4 times as many dimes as quarters. What is the minimum amount of money in the jar? If there are 175 coins, how much money is in the jar? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #546963 by </B><A HREF=/tutors/aboutme.mpl?userid=richwmiller><B>richwmiller(17219)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=richwmiller><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=richwmiller><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=546963\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 3d=p,<BR>\n" );
document.write( "4q=d,<BR>\n" );
document.write( "q/2=n\r<BR>\n" );
document.write( "\n" );
document.write( "p-3d=0<BR>\n" );
document.write( "n-q/2=0<BR>\n" );
document.write( "d-4q=0<BR>\n" );
document.write( "p+n+d+q=175, <BR>\n" );
document.write( "1,0,-3,0,0<BR>\n" );
document.write( "0,1,0,-.5,0<BR>\n" );
document.write( "0,0,1,-4,0<BR>\n" );
document.write( "1,1,1,1,175\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "d = 40,   n = 5,   p = 120,   q = 10,<BR>\n" );
document.write( "x=p+5*n+10*d+25*q<BR>\n" );
document.write( "x=795<BR>\n" );
document.write( "1,0,-3,0,0<BR>\n" );
document.write( "0,1,0,-.5,0<BR>\n" );
document.write( "0,0,1,-4,0<BR>\n" );
document.write( "1,1,1,1,175\r<BR>\n" );
document.write( "\n" );
document.write( "divide row 1 by 1/1<BR>\n" );
document.write( "1,0,-3,0,0<BR>\n" );
document.write( "0,1,0,-0.5/1,0<BR>\n" );
document.write( "0,0,1,-4,0<BR>\n" );
document.write( "1,1,1,1,175\r<BR>\n" );
document.write( "\n" );
document.write( "add  down (0/1) *row 1 to row 2<BR>\n" );
document.write( "1,0,-3,0,0<BR>\n" );
document.write( "0,1,0,-0.5/1,0<BR>\n" );
document.write( "0,0,1,-4,0<BR>\n" );
document.write( "1,1,1,1,175\r<BR>\n" );
document.write( "\n" );
document.write( "add  down (0/1) *row 1 to row 3<BR>\n" );
document.write( "1,0,-3,0,0<BR>\n" );
document.write( "0,1,0,-0.5/1,0<BR>\n" );
document.write( "0,0,1,-4,0<BR>\n" );
document.write( "1,1,1,1,175\r<BR>\n" );
document.write( "\n" );
document.write( "add  down (-1/1) *row 1 to row 4<BR>\n" );
document.write( "1,0,-3,0,0<BR>\n" );
document.write( "0,1,0,-0.5/1,0<BR>\n" );
document.write( "0,0,1,-4,0<BR>\n" );
document.write( "0,1,4,1,175\r<BR>\n" );
document.write( "\n" );
document.write( "divide row 2 by 1/1<BR>\n" );
document.write( "1,0,-3,0,0<BR>\n" );
document.write( "0,1,0,-0.5/1,0<BR>\n" );
document.write( "0,0,1,-4,0<BR>\n" );
document.write( "0,1,4,1,175\r<BR>\n" );
document.write( "\n" );
document.write( "add  down (0/1) *row 2 to row 3<BR>\n" );
document.write( "1,0,-3,0,0<BR>\n" );
document.write( "0,1,0,-0.5/1,0<BR>\n" );
document.write( "0,0,1,-4,0<BR>\n" );
document.write( "0,1,4,1,175\r<BR>\n" );
document.write( "\n" );
document.write( "add  down (-1/1) *row 2 to row 4<BR>\n" );
document.write( "1,0,-3,0,0<BR>\n" );
document.write( "0,1,0,-0.5/1,0<BR>\n" );
document.write( "0,0,1,-4,0<BR>\n" );
document.write( "0,0,4,1.5/1,175\r<BR>\n" );
document.write( "\n" );
document.write( "divide row 3 by 1/1<BR>\n" );
document.write( "1,0,-3,0,0<BR>\n" );
document.write( "0,1,0,-0.5/1,0<BR>\n" );
document.write( "0,0,1,-4,0<BR>\n" );
document.write( "0,0,4,1.5/1,175\r<BR>\n" );
document.write( "\n" );
document.write( "add  down (-4/1) *row 3 to row 4<BR>\n" );
document.write( "1,0,-3,0,0<BR>\n" );
document.write( "0,1,0,-0.5/1,0<BR>\n" );
document.write( "0,0,1,-4,0<BR>\n" );
document.write( "0,0,0,17.5/1,175\r<BR>\n" );
document.write( "\n" );
document.write( "divide row 4 by 17.5/1<BR>\n" );
document.write( "1,0,-3,0,0<BR>\n" );
document.write( "0,1,0,-0.5/1,0<BR>\n" );
document.write( "0,0,1,-4,0<BR>\n" );
document.write( "0,0,0,1,10\r<BR>\n" );
document.write( "\n" );
document.write( "We now have the value for the last variable.<BR>\n" );
document.write( "We will work our way up and get the other solutions.\r<BR>\n" );
document.write( "\n" );
document.write( "add up  (4/1) *row 4 to row 3<BR>\n" );
document.write( "1,0,-3,0,0<BR>\n" );
document.write( "0,1,0,-0.5/1,0<BR>\n" );
document.write( "0,0,1,0,40<BR>\n" );
document.write( "0,0,0,1,10\r<BR>\n" );
document.write( "\n" );
document.write( "add up  (0.5/1) *row 4 to row 2<BR>\n" );
document.write( "1,0,-3,0,0<BR>\n" );
document.write( "0,1,0,0,5<BR>\n" );
document.write( "0,0,1,0,40<BR>\n" );
document.write( "0,0,0,1,10\r<BR>\n" );
document.write( "\n" );
document.write( "add up  (0/1) *row 4 to row 1<BR>\n" );
document.write( "1,0,-3,0,0<BR>\n" );
document.write( "0,1,0,0,5<BR>\n" );
document.write( "0,0,1,0,40<BR>\n" );
document.write( "0,0,0,1,10\r<BR>\n" );
document.write( "\n" );
document.write( "add up  (0/1) *row 3 to row 2<BR>\n" );
document.write( "1,0,-3,0,0<BR>\n" );
document.write( "0,1,0,0,5<BR>\n" );
document.write( "0,0,1,0,40<BR>\n" );
document.write( "0,0,0,1,10\r<BR>\n" );
document.write( "\n" );
document.write( "add up  (3/1) *row 3 to row 1<BR>\n" );
document.write( "1,0,0,0,120<BR>\n" );
document.write( "0,1,0,0,5<BR>\n" );
document.write( "0,0,1,0,40<BR>\n" );
document.write( "0,0,0,1,10\r<BR>\n" );
document.write( "\n" );
document.write( "add up  (0/1) *row 2 to row 1<BR>\n" );
document.write( "1,0,0,0,120<BR>\n" );
document.write( "0,1,0,0,5<BR>\n" );
document.write( "0,0,1,0,40<BR>\n" );
document.write( "0,0,0,1,10\r<BR>\n" );
document.write( "\n" );
document.write( "final<BR>\n" );
document.write( "1,0,0,0,120<BR>\n" );
document.write( "0,1,0,0,5<BR>\n" );
document.write( "0,0,1,0,40<BR>\n" );
document.write( "0,0,0,1,10\r<BR>\n" );
document.write( "\n" );
document.write( "1,0,0,0,120<BR>\n" );
document.write( "0,1,0,0,5<BR>\n" );
document.write( "0,0,1,0,40<BR>\n" );
document.write( "0,0,0,1,10<BR>\n" );
document.write( "\"120\",\"5\",\"40\",\"10\"<BR>\n" );
document.write( "(120,5,40,10)\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );