document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=468330>Question 468330</A>: <I><SPAN STYLE=\"word-break: break-all;\"> sarah has a collection of 80 coins made up of nickels, dimes. and quarters. she has 5 more dimes than one-third the number of nickels, and the number of quarters is one less than one-fourth the number of nickels. how many coins of each kind does she have? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #321454 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=321454\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> sarah has a collection of 80 coins made up of nickels, dimes. and quarters.<BR>\n" );
document.write( " she has 5 more dimes than one-third the number of nickels, and the number of<BR>\n" );
document.write( " quarters is one less than one-fourth the number of nickels.<BR>\n" );
document.write( " how many coins of each kind does she have?<BR>\n" );
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document.write( "Let n = no. of nickels<BR>\n" );
document.write( "Let d = no. of dimes<BR>\n" );
document.write( "Let q = no. of quarters<BR>\n" );
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document.write( "Write an equation for each statement:<BR>\n" );
document.write( "\"sarah has a collection of 80 coins made up of nickels, dimes. and quarters.\"<BR>\n" );
document.write( "n + d + q = 80<BR>\n" );
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document.write( "\"she has 5 more dimes than one-third the number of nickels,\"<BR>\n" );
document.write( "d = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F3 ALIGN=MIDDLE  ALT=\"1%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" >n + 5<BR>\n" );
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document.write( "\" the number of quarters is one less than one-fourth the number of nickels.\"<BR>\n" );
document.write( "q = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F4 ALIGN=MIDDLE  ALT=\"1%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" >n - 1<BR>\n" );
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document.write( "Replace d and q from the above equations:<BR>\n" );
document.write( "n + (<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F3 ALIGN=MIDDLE  ALT=\"1%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" >n + 5) + (<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F4 ALIGN=MIDDLE  ALT=\"1%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" >n - 1) = 80<BR>\n" );
document.write( ":<BR>\n" );
document.write( "n + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F3 ALIGN=MIDDLE  ALT=\"1%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" >n + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F4 ALIGN=MIDDLE  ALT=\"1%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" >n - 1 + 5 = 80<BR>\n" );
document.write( ":<BR>\n" );
document.write( "n + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F3 ALIGN=MIDDLE  ALT=\"1%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" >n + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F4 ALIGN=MIDDLE  ALT=\"1%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" >n + 4 = 80<BR>\n" );
document.write( ":<BR>\n" );
document.write( "n + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F3 ALIGN=MIDDLE  ALT=\"1%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" >n + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F4 ALIGN=MIDDLE  ALT=\"1%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" >n = 80 - 4<BR>\n" );
document.write( ":<BR>\n" );
document.write( "n + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F3 ALIGN=MIDDLE  ALT=\"1%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" >n + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F4 ALIGN=MIDDLE  ALT=\"1%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" >n = 76<BR>\n" );
document.write( "Get rid of those annoying fractions multiply by 12<BR>\n" );
document.write( "12n + 4n + 3n = 12(76)<BR>\n" );
document.write( "19n = 912<BR>\n" );
document.write( "n = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=912%2F19 ALIGN=MIDDLE  ALT=\"912%2F19\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "n = 48 nickels<BR>\n" );
document.write( "then<BR>\n" );
document.write( "d = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F3 ALIGN=MIDDLE  ALT=\"1%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" >*48 + 5<BR>\n" );
document.write( "d = 16 + 5<BR>\n" );
document.write( "d = 21 dimes<BR>\n" );
document.write( "and<BR>\n" );
document.write( "q = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F4 ALIGN=MIDDLE  ALT=\"1%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" >*48 - 1<BR>\n" );
document.write( "q = 12 - 1<BR>\n" );
document.write( "q = 11 quarters<BR>\n" );
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document.write( "Check this: 48 + 21 + 11 = 80\r<BR>\n" );
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document.write( " how many coins of each kind does she have? </SPAN>\n" );
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