document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=134957>Question 134957</A>: <I><SPAN STYLE=\"word-break: break-all;\"> mary has six dollars in quarters,dimes and nickels.She has three times as many dimes as nickels and 17 quarters. how many nickels and how many dimes 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 #98816 by </B><A HREF=/tutors/aboutme.mpl?userid=solver91311><B>solver91311(24713)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=solver91311><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=solver91311><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=98816\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Since you are given that she has 17 quarters, you know that she has <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=17%2A.25=4.25 ALIGN=MIDDLE  ALT=\"17%2A.25=4.25\"   DISABLED_style= \"max-width:90%; height:auto;\" > in quarters.  Since she has a total of $6, you know that she has <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6-4.25=1.75 ALIGN=MIDDLE  ALT=\"6-4.25=1.75\"   DISABLED_style= \"max-width:90%; height:auto;\" > in dimes and nickels.\r<BR>\n" );
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document.write( "Let the number of dimes be d and the number of nickels be n.\r<BR>\n" );
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document.write( "Then you are given that <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d=3n ALIGN=MIDDLE  ALT=\"d=3n\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "We also know that the value of d dimes is .10d, and the value of n nickels is .05n -- 10 cents per dime, and 5 cents per nickel.\r<BR>\n" );
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document.write( "The total value of her dimes and nickels is therefore .10d + .05n and we know this to be equal to $1.75.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=.10d%2B.05n=1.75 ALIGN=MIDDLE  ALT=\".10d%2B.05n=1.75\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "But remember, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d=3n ALIGN=MIDDLE  ALT=\"d=3n\"   DISABLED_style= \"max-width:90%; height:auto;\" >, so:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=.10%283n%29%2B.05n=1.75 ALIGN=MIDDLE  ALT=\".10%283n%29%2B.05n=1.75\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=.3n%2B0.5n=1.75 ALIGN=MIDDLE  ALT=\".3n%2B0.5n=1.75\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=.35n=1.75 ALIGN=MIDDLE  ALT=\".35n=1.75\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=n=5 ALIGN=MIDDLE  ALT=\"n=5\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "So she has 5 nickels and 3 * 5 = 15 dimes.\r<BR>\n" );
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document.write( "Check:\r<BR>\n" );
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document.write( "5 nickels = .25<BR>\n" );
document.write( "15 dimes = 1.50<BR>\n" );
document.write( "17 quarters = 4.25\r<BR>\n" );
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document.write( "4.25 + 1.50 + .25 = 6.00 </SPAN>\n" );
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