document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=160600>Question 160600</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Sam found a number of nickels, dimes and quarters. He found 3 more dimes than nickels but twice as many quarter as dimes.  The total value of the coins was $5.05. How many coins of each type did Sam find?  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #118456 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=118456\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Sam found a number of nickels, dimes and quarters. He found 3 more dimes than<BR>\n" );
document.write( " nickels but twice as many quarter as dimes.  The total value of the coins was<BR>\n" );
document.write( " $5.05. How many coins of each type did Sam find? <BR>\n" );
document.write( ";<BR>\n" );
document.write( "Let:<BR>\n" );
document.write( "n = no. of nickels<BR>\n" );
document.write( "d = no. of dime<BR>\n" );
document.write( "q = no. of quarters<BR>\n" );
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document.write( "Write an equation for each statement:<BR>\n" );
document.write( ";<BR>\n" );
document.write( "\"He found 3 more dimes than nickels\"<BR>\n" );
document.write( "d = 3+n<BR>\n" );
document.write( "or<BR>\n" );
document.write( "n = (d-3)<BR>\n" );
document.write( ":<BR>\n" );
document.write( "\" but twice as many quarter as dimes.\"<BR>\n" );
document.write( "q = 2d<BR>\n" );
document.write( ":<BR>\n" );
document.write( "\"The total value of the coins was $5.05.\"<BR>\n" );
document.write( ".05n + 10d + .25q = 5.05<BR>\n" );
document.write( ":<BR>\n" );
document.write( " How many coins of each type did Sam find?<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Substitute for q and n in the total$ equation<BR>\n" );
document.write( ".05(d-3) + .10d + .25(2d) = 5.05<BR>\n" );
document.write( ".05d - .15 + .10d + .50d = 5.05<BR>\n" );
document.write( ".05d + .10d + .50d = 5.05 + .15<BR>\n" );
document.write( ".65d = 5.20<BR>\n" );
document.write( "d = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5.20%2F.65 ALIGN=MIDDLE  ALT=\"5.20%2F.65\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "d = 8 dimes<BR>\n" );
document.write( "then<BR>\n" );
document.write( "n = 8 - 3<BR>\n" );
document.write( "n = 5 nickels<BR>\n" );
document.write( "and<BR>\n" );
document.write( "q = 2*8<BR>\n" );
document.write( "q = 16 quarter<BR>\n" );
document.write( ":<BR>\n" );
document.write( "8 + 5 + 16 = 29 coins total<BR>\n" );
document.write( ";<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Check solution in the total$ equation<BR>\n" );
document.write( ".05(5) + .10(8) + .25(16) =<BR>\n" );
document.write( ".25 + .80 + 4.00 = 5.05; confirms our solutions </SPAN>\n" );
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