document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1200567>Question 1200567</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A collection of nickels, dimes, and quarters is retrieved from a vending machine.  There are three times as many nickels as dimes, and there are ten more quarters than dimes.  If the total value of the coins is $40.00 then find the number of each type of coin.<BR>\n" );
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document.write( "Answers:<BR>\n" );
document.write( "<font color=red>225 nickels<BR>\n" );
document.write( "75 dimes<BR>\n" );
document.write( "85 quarters</font>\r<BR>\n" );
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document.write( "Work Shown:\r<BR>\n" );
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document.write( "d = number of dimes<BR>\n" );
document.write( "3d = number of nickels<BR>\n" );
document.write( "d+10 = number of quarters\r<BR>\n" );
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document.write( "10d = value of the dimes (cents)<BR>\n" );
document.write( "5(3d) = 15d = value of the nickels (cents)<BR>\n" );
document.write( "25(d+10) = 25d+250 = value of the quarters (cents)\r<BR>\n" );
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document.write( "10d+15d+(25d+250) = 4000 cents aka $40<BR>\n" );
document.write( "50d+250 = 4000<BR>\n" );
document.write( "50d = 4000-250<BR>\n" );
document.write( "50d = 3750<BR>\n" );
document.write( "d = 3750/50<BR>\n" );
document.write( "d = <font color=red>75 dimes</font><BR>\n" );
document.write( "3d = 3*75 = <font color=red>225 nickels</font><BR>\n" );
document.write( "d+10 = 75+10 = <font color=red>85 quarters</font>\r<BR>\n" );
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document.write( "Check:<BR>\n" );
document.write( "225 nickels = 225*5 = 1125 cents = $11.25<BR>\n" );
document.write( "75 dimes = 75*10 = 750 cents = $7.50<BR>\n" );
document.write( "85 quarters = 85*25 = 2125 cents = $21.25<BR>\n" );
document.write( "total = $11.25+$7.50+$21.25 = $40<BR>\n" );
document.write( "The answers are confirmed.<BR>\n" );
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