document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=175616>Question 175616</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A club treasurer has $28.45 consisting of nickels, dimes, and quarters. She has 9 more nickels than dimes and three times as many dimes as quarters. How many does she have of each coin? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #130701 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=130701\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> treasurer has $28.45 consisting of nickels, dimes, and quarters.<BR>\n" );
document.write( " She has 9 more nickels than dimes and three times as many dimes as quarters.<BR>\n" );
document.write( " How many does she have of each coin?<BR>\n" );
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document.write( "Write an equation for each statement:<BR>\n" );
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document.write( "\"treasurer has $28.45 consisting of nickels, dimes, and quarters.\"<BR>\n" );
document.write( ".05n + .10d + .25q = 28.45<BR>\n" );
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document.write( " \"She has 9 more nickels than dimes\"<BR>\n" );
document.write( "n = d + 9<BR>\n" );
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document.write( "\" and three times as many dimes as quarters.\"<BR>\n" );
document.write( "d = 3q<BR>\n" );
document.write( "or we can write it:<BR>\n" );
document.write( "q = <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;\" >d<BR>\n" );
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document.write( " How many does she have of each coin?<BR>\n" );
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document.write( "Using the 1st equation substitute:<BR>\n" );
document.write( "(d+9) for n<BR>\n" );
document.write( "<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;\" >d for q<BR>\n" );
document.write( ".05(d+9) + .10d + .25(<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;\" >d) = 28.45<BR>\n" );
document.write( ".05d + .45 + .10d + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=.25%2F3 ALIGN=MIDDLE  ALT=\".25%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" >d = 28.45<BR>\n" );
document.write( ".15d + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=.25%2F3 ALIGN=MIDDLE  ALT=\".25%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" >d = 28.45 - .45<BR>\n" );
document.write( ".15d + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=.25%2F3 ALIGN=MIDDLE  ALT=\".25%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" >d = 28.00<BR>\n" );
document.write( "Multiply equation by 3 to get rid of the denominator<BR>\n" );
document.write( ".45d + .25d = 84<BR>\n" );
document.write( ".70d = 84<BR>\n" );
document.write( "d = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=84%2F.7 ALIGN=MIDDLE  ALT=\"84%2F.7\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "d = 120 dimes<BR>\n" );
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document.write( "Find nickels:<BR>\n" );
document.write( "n = 120 + 9<BR>\n" );
document.write( "n = 129 nickels<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Find quarters:<BR>\n" );
document.write( "q = <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;\" >*120<BR>\n" );
document.write( "q = 40 quarters<BR>\n" );
document.write( ";<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Check solutions in the 1st equation:<BR>\n" );
document.write( ".05(129) + .10(120) + .25(40) = <BR>\n" );
document.write( "6.45 + 12.00 + 10.00 = 28.45; confirms our solutions\r<BR>\n" );
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document.write( " </SPAN>\n" );
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