document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=220484>Question 220484</A>: <I><SPAN STYLE=\"word-break: break-all;\"> You have quarters, dimes and nickels with a total value of 500 cents or $5.00.  The number of nickels is twice the number of quarters.  The number of dimes is four less than the number of quarters.\r<BR>\n" );
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document.write( "a. Explain why the expression 5(2q) represents the value of the nickels if q represents the number of quarters.  How can you simplify the expression?\r<BR>\n" );
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document.write( "b.  Write and solve an equation to find the number of each type of coin.\r<BR>\n" );
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document.write( "We have tried to solve for the last 30 minutes.  I would like to share our work, but there was copious amounts of it.   </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #165517 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=165517\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> You have quarters, dimes and nickels with a total value of 500 cents or $5.00. The number of nickels is twice the number of quarters. <BR>\n" );
document.write( "saThe number of dimes is four less than the number of quarters. <BR>\n" );
document.write( "a. Explain why the expression 5(2q) represents the value of the nickels if q represents the number of quarters.<BR>\n" );
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document.write( "How can you simplify the expression? <BR>\n" );
document.write( "(unit value)*(# of units) = total value:<BR>\n" );
document.write( "So, 5(2q) = 10q is the total value of the quarters<BR>\n" );
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document.write( "b. Write and solve an equation to find the number of each type of coin. <BR>\n" );
document.write( "Value Eq.: 25q + 10d + 5n = 500 cents<BR>\n" );
document.write( "Quantity Eq: n = 2q<BR>\n" );
document.write( "Quantity Eq: d = q-4<BR>\n" );
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document.write( "Substituting you get:<BR>\n" );
document.write( "Value Eq: 25q + 10(q-4) + 5(2q) = 500<BR>\n" );
document.write( "25q + 10q-40 + 10q = 500<BR>\n" );
document.write( "45q -40 = 500<BR>\n" );
document.write( "45q = 540<BR>\n" );
document.write( "q = 12 (# of quarters)<BR>\n" );
document.write( "n = 2q = 24 (# of nickels)<BR>\n" );
document.write( "d = q-4 = 8 (# of dimes)<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
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