document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=319127>Question 319127</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Tim has $5.03 in quarters, nickels, dimes, pennies, and half-dollars in a desk drawer.  He has fice more nickles than quarters, then number of pennies is two-thirds the number of nickles, there are half as many half-dollars as pennies, and half as many dimes as nickels.  How many coins of each type does he have?<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #228723 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=228723\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Tim has $5.03 in quarters, nickels, dimes, pennies, and half-dollars in a desk drawer.<BR>\n" );
document.write( " He has five more nickles than quarters, then number of pennies is two-thirds<BR>\n" );
document.write( " the number of nickles, there are half as many half-dollars as pennies,<BR>\n" );
document.write( " and half as many dimes as nickels. <BR>\n" );
document.write( "How many coins of each type does he have?<BR>\n" );
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document.write( "Write a equation for each statement:<BR>\n" );
document.write( "\"Tim has $5.03 in quarters, nickels, dimes, pennies, and half-dollars in a desk drawer.\"<BR>\n" );
document.write( ".01p + .05n + .10d + .25q + .50h = 5.03<BR>\n" );
document.write( ":<BR>\n" );
document.write( "\"He has five more nickles than quarters,\"<BR>\n" );
document.write( "n = q + 5<BR>\n" );
document.write( "or<BR>\n" );
document.write( "q = n - 5<BR>\n" );
document.write( ":<BR>\n" );
document.write( "\"then number of pennies is two-thirds the number of nickles,\"<BR>\n" );
document.write( "p = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2F3 ALIGN=MIDDLE  ALT=\"2%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" >n<BR>\n" );
document.write( ":<BR>\n" );
document.write( "\"there are half as many half-dollars as pennies,\"<BR>\n" );
document.write( "h = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F2 ALIGN=MIDDLE  ALT=\"1%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" >p<BR>\n" );
document.write( "replace p with <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2F3 ALIGN=MIDDLE  ALT=\"2%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" >n<BR>\n" );
document.write( "h = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F2 ALIGN=MIDDLE  ALT=\"1%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" >*<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2F3 ALIGN=MIDDLE  ALT=\"2%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" >n<BR>\n" );
document.write( "h = <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<BR>\n" );
document.write( ":<BR>\n" );
document.write( "\" half as many dimes as nickels.\"<BR>\n" );
document.write( "d = .5n<BR>\n" );
document.write( ":<BR>\n" );
document.write( ".01p + .05n + .10d + .25q + .50h = 5.03<BR>\n" );
document.write( "get rid of the decimals, multiply by 100<BR>\n" );
document.write( "p + 5n + 10d + 25q + 50 = 503<BR>\n" );
document.write( "Get everything in terms of n, replace p, d, q, and h<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2F3 ALIGN=MIDDLE  ALT=\"2%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" >n + 5n + 10(.5n) + 25(n-5) + 50*<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 = 503<BR>\n" );
document.write( "multiply by 3, get rid of the fractions<BR>\n" );
document.write( "2n + 15n + 30(.5n) + 75(n-5) + 50n = 1509<BR>\n" );
document.write( ":<BR>\n" );
document.write( "2n + 15n + 15n + 75n - 375 + 50n = 1509<BR>\n" );
document.write( ":<BR>\n" );
document.write( "157n = 1509 + 375<BR>\n" );
document.write( ":<BR>\n" );
document.write( "157n = 1884<BR>\n" );
document.write( "n = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1885%2F157 ALIGN=MIDDLE  ALT=\"1885%2F157\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "n = 12 nickels<BR>\n" );
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document.write( "How many coins of each type does he have?<BR>\n" );
document.write( "p:<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2F3 ALIGN=MIDDLE  ALT=\"2%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" >*12 = 8 pennies<BR>\n" );
document.write( ":<BR>\n" );
document.write( "h: <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;\" >*12 = 4 half dollars<BR>\n" );
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document.write( "q: 12 - 5 = 7 quarters<BR>\n" );
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document.write( "d: .5(12) = 6 dimes<BR>\n" );
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document.write( "Check the solutions, find the total<BR>\n" );
document.write( ".01(8) + .05(12) + .10(6) .25(7) + .50(4) =<BR>\n" );
document.write( ".08 + .60 + .60 + 1.75 + 2.00 = 5.03; confirms our solutions </SPAN>\n" );
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