document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=363977>Question 363977</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Priscilla has pennies, Nate has nickels, Dem has dimes, Qasi has quarters, and Hawthorne has half dollars.  Nate has five times as many nickels as Dem has dimes.  If Priscilla gives 35 pennies to Nate, 80 pennies to Dem, 50 pennies to Qasi, 10 pennies to Hawthorne, and Nathaniel gives 45 nickels to Dem, 5 nickels to Qasi, 2 nickels to Hawthorne, 1 nickel to Priscilla, and Dem gives 10 dimes to Qasi, 3 dimes to Hawthorne, 2 dimes to Priscilla, 3 dimes to Nate, and Qasi gives 2 quarters to Hawthorne, 9 quarters to Priscilla, 2 quarters to Nate, 3 quarters to Dem, and Hawthorne gives 4 half dollars to Priscilla, 3 half dollars to Nate, 2 half dolars to Dem, and 1 half dollar to Qasi, they will all have the same amount of money.  How many coins did each start the problem with? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #259726 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=259726\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Priscilla has pennies, Nate has nickels, Dem has dimes, Qasi has quarters, and Hawthorne has half dollars. <BR>\n" );
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document.write( "Nate has five times as many nickels as Dem has dimes.<BR>\n" );
document.write( "n = 5d<BR>\n" );
document.write( ":<BR>\n" );
document.write( "If Priscilla gives 35 pennies to Nate, 80 pennies to Dem, 50 pennies to Qasi, 10 pennies to Hawthorne,<BR>\n" );
document.write( ".01p-(35+80+50+10); subtract from Priscilla's pennies<BR>\n" );
document.write( ".01p-1.75<BR>\n" );
document.write( "Add to the others<BR>\n" );
document.write( ".05n + .35<BR>\n" );
document.write( ".10d + .80<BR>\n" );
document.write( ".25q + .50<BR>\n" );
document.write( ".50h + .10<BR>\n" );
document.write( ":<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Nathaniel gives 45 nickels to Dem, 5 nickels to Qasi, 2 nickels to Hawthorne, 1 nickel to Priscilla,<BR>\n" );
document.write( "(.05n+.35)-(2.25+.25+.10+.05)<BR>\n" );
document.write( ".05n +.35 - 2.65<BR>\n" );
document.write( ".05n - 2.30<BR>\n" );
document.write( ":<BR>\n" );
document.write( ".10d + .80 + 2.25<BR>\n" );
document.write( ".10d + 3.05<BR>\n" );
document.write( ":<BR>\n" );
document.write( ".25q + .50 + .25<BR>\n" );
document.write( ".25q + .75<BR>\n" );
document.write( ":<BR>\n" );
document.write( ".50h + .10 + .10<BR>\n" );
document.write( ".50h + .20<BR>\n" );
document.write( ":<BR>\n" );
document.write( "p-1.75 + .05<BR>\n" );
document.write( "p-1.70<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Dem gives 10 dimes to Qasi, 3 dimes to Hawthorne, 2 dimes to Priscilla, 3 dimes to Nate,<BR>\n" );
document.write( ".10d + 3.05 -(1.00+.30+.20+30)<BR>\n" );
document.write( ".10d + 3.05 - 1.80<BR>\n" );
document.write( ".10d + 1.25<BR>\n" );
document.write( ":<BR>\n" );
document.write( ".25q+.50+1.00<BR>\n" );
document.write( ".25q + 1.50<BR>\n" );
document.write( ":<BR>\n" );
document.write( ".50h + .20 + .30<BR>\n" );
document.write( ".50h + .50<BR>\n" );
document.write( ":<BR>\n" );
document.write( "p - 1.70 + .20<BR>\n" );
document.write( "p - 1.50<BR>\n" );
document.write( ":<BR>\n" );
document.write( ".05n - 2.30 + .30<BR>\n" );
document.write( ".05n - 2.00<BR>\n" );
document.write( ":<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Qasi gives 2 quarters to Hawthorne, 9 quarters to Priscilla, 2 quarters to Nate, 3 quarters to Dem,<BR>\n" );
document.write( ".25q + 1.50 -(.50+2.25+.50+.75)<BR>\n" );
document.write( ".25q + 1.50 - 4.00<BR>\n" );
document.write( ".25q - 2.50<BR>\n" );
document.write( ":<BR>\n" );
document.write( ".50h + .50 + .50<BR>\n" );
document.write( ".50h + 1.00<BR>\n" );
document.write( ":<BR>\n" );
document.write( "p - 1.50 + 2.25<BR>\n" );
document.write( "p + .75<BR>\n" );
document.write( ":<BR>\n" );
document.write( ".05n - 2.00 +.50<BR>\n" );
document.write( ".05n - 1.50<BR>\n" );
document.write( ":<BR>\n" );
document.write( ".10d + 1.25 + .75<BR>\n" );
document.write( ".10d + 2.00<BR>\n" );
document.write( ":<BR>\n" );
document.write( ":<BR>\n" );
document.write( " Hawthorne gives 4 half dollars to Priscilla, 3 half dollars to Nate, 2 half dolars to Dem, and 1 half dollar to Qasi,<BR>\n" );
document.write( ".50h + 1.00 -(2.00+1.50+1.00+.50)<BR>\n" );
document.write( ".50H + 1.00 - 5.00<BR>\n" );
document.write( ".50h - 4.00<BR>\n" );
document.write( ":<BR>\n" );
document.write( ".01p+.75+2.00<BR>\n" );
document.write( ".01p+2.75<BR>\n" );
document.write( ":<BR>\n" );
document.write( ".05n-1.50 + 1.50<BR>\n" );
document.write( ".05n<BR>\n" );
document.write( ":<BR>\n" );
document.write( ".10d+2.00 + 1.00<BR>\n" );
document.write( ".10d+3.00<BR>\n" );
document.write( ":<BR>\n" );
document.write( ".25q-2.50 + .50<BR>\n" );
document.write( ".25q-2.00\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( " they will all have the same amount of money. How many coins each start the problem with?<BR>\n" );
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document.write( "Resulting value expression for each type of coin<BR>\n" );
document.write( ".01P+2.75<BR>\n" );
document.write( ".05n<BR>\n" );
document.write( ".10d+3.00<BR>\n" );
document.write( ".25q-2.00<BR>\n" );
document.write( ".50h-4.00<BR>\n" );
document.write( ":<BR>\n" );
document.write( ".05n = .10d+3.00; (they have the same amt of money)<BR>\n" );
document.write( "\"Nate has five times as many nickels as Dem has dimes.\"<BR>\n" );
document.write( "n = 5d<BR>\n" );
document.write( "therefore:<BR>\n" );
document.write( ".05n = .10d + 3.00<BR>\n" );
document.write( ".05(5d) = .10d + 3.00<BR>\n" );
document.write( ".25d - .10d = 3.00<BR>\n" );
document.write( ".15d = 3.00<BR>\n" );
document.write( "d + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%2F.15 ALIGN=MIDDLE  ALT=\"3%2F.15\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "d = 20 dimes<BR>\n" );
document.write( "then<BR>\n" );
document.write( "n = 5(20)<BR>\n" );
document.write( "n = 100 nickels<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Find p:<BR>\n" );
document.write( ".01p + 2.75 = .05(100)<BR>\n" );
document.write( ".01p + 2.75 = 5<BR>\n" );
document.write( ".01p = 5 - 2.75<BR>\n" );
document.write( ".01p = 2.25<BR>\n" );
document.write( "p = 225 pennies<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Find q, the same way<BR>\n" );
document.write( ".25q - 2.00 = 5<BR>\n" );
document.write( ".25q = 5 + 2<BR>\n" );
document.write( ".25q = 7<BR>\n" );
document.write( "q = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=7%2F.25 ALIGN=MIDDLE  ALT=\"7%2F.25\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "q = 28 quarters<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Find h<BR>\n" );
document.write( ".50h - 4.00 = 5<BR>\n" );
document.write( ".5h = 5 + 4<BR>\n" );
document.write( ".5h = 9<BR>\n" );
document.write( "h = 18 halfs<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Summarize:<BR>\n" );
document.write( "225 pennies<BR>\n" );
document.write( "100 nickels<BR>\n" );
document.write( "20 dimes<BR>\n" );
document.write( "28 quarters<BR>\n" );
document.write( "18 halfs<BR>\n" );
document.write( ":<BR>\n" );
document.write( ":<BR>\n" );
document.write( "There is probably an easier way to do this, but I just can't come with it.<BR>\n" );
document.write( "If you find a better way, would appreciate if you would let me know.<BR>\n" );
document.write( "ankor@att.net </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );