document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=55377>Question 55377</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/0618044302/algebrahomeworkh></A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> A bank contains 36 nickels, dimes, and quarters. There are 4 more dimes than quarters and twice as many nickels as quarters. How many of each coin are in the bank?   </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #37582 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=37582\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Write an equation for each phrase/statement<BR>\n" );
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document.write( "A bank contains 36 nickels, dimes, and quarters.<BR>\n" );
document.write( "n + d + q = 36<BR>\n" );
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document.write( "There are 4 more dimes than quarters<BR>\n" );
document.write( "d = q + 4<BR>\n" );
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document.write( "and twice as many nickels as quarters.<BR>\n" );
document.write( "n = 2q<BR>\n" );
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document.write( " How many of each coin are in the bank?<BR>\n" );
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document.write( "Notice that if we substitute (q+4) for d, and 2q for n in the 1st equation, we only have one unknown to deal with, \"q\":<BR>\n" );
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document.write( "2q + (q+4) + q = 36<BR>\n" );
document.write( "2q + q + 4 + q = 36<BR>\n" );
document.write( "            4q = 36 - 4<BR>\n" );
document.write( "            4q = 32<BR>\n" );
document.write( "             q = 32/4<BR>\n" );
document.write( "q = 8 quarters<BR>\n" );
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document.write( "Now I am sure you can find the number of nickels and dimes by substituting 8 for q in the above equations.  Then check your solutions in the 1st equation   </SPAN>\n" );
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