document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=56180>Question 56180</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Peter collected 105 coins.  All the coins are nickels,dimes or quarters.  Three times the number of nickels is the same as twice the number of dimes. The value of the coins is $22.00.  Find the number of nickels, dimes and quarters that Peter has.\r<BR>\n" );
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document.write( "Could you please tell me the formulas to solve this, I can solve the other problems I have to complete that are similar.I've tried for a couple of hours, can't seem to understand the logic. Thanks for your help.\r<BR>\n" );
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document.write( "I do not have the testbook at home.  My worksheet says Algebra II Systems of Linear Equations.\r<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 #38113 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=38113\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Peter collected 105 coins. All the coins are nickels,dimes or quarters. Three times the number of nickels is the same as twice the number of dimes. The value of the coins is $22.00. Find the number of nickels, dimes and quarters that Peter has.<BR>\n" );
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document.write( "Let \"x\" be the number of dimes; Value of those is 10x cents.<BR>\n" );
document.write( "Since 3(Number of nickels) is 2x, <BR>\n" );
document.write( "Number of nickels =(2/3)x ; Value is 5(2/3x)=(10/3)x cents<BR>\n" );
document.write( "Number of quarters is 105-x-(2/3)x=105-(5/3)x; <BR>\n" );
document.write( "Value is 25(105-(5/3)x=2625-(125/3)x cents<BR>\n" );
document.write( "EQUATION:<BR>\n" );
document.write( "value + value + value = 2200 cents<BR>\n" );
document.write( "10x+(10/3)x+ 2625-(125/3)x = 2200<BR>\n" );
document.write( "(-85/3)x=-425<BR>\n" );
document.write( "x=15 (number of dimes)<BR>\n" );
document.write( "(2/3)x=10 (number of nickels)<BR>\n" );
document.write( "105-(5/3)x=80 (number of quarters)<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H><BR>\n" );
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