document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=218698>Question 218698</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Mina had 34 nickels and quarters totaling $4.10. she had two less than twice as many as quarters. how many of each did she have? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #164676 by </B><A HREF=/tutors/aboutme.mpl?userid=rapaljer><B>rapaljer(4671)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=rapaljer><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=rapaljer><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=164676\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Since she had 34 coins total, let x = number of one type of coin.  It works with either one, but let's just say that x = number of quarters.  The rest of the coins, that is 34-x, would be nickels.\r<BR>\n" );
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document.write( "Let x= number of quarters<BR>\n" );
document.write( "34-x = number of nickels\r<BR>\n" );
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document.write( "The equation is based upon the VALUES of each coin TIMES the NUMBER of coins.  It can be worked in either DOLLARS or CENTS, but in CENTS, you don't have to use decimals.  Remember that $4.10 is actually 410 cents:\r<BR>\n" );
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document.write( "25*x + 5*(34-x)= 410\r<BR>\n" );
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document.write( "25x + 170 - 5x = 410<BR>\n" );
document.write( "20x + 170 = 410<BR>\n" );
document.write( "20x = 410-170<BR>\n" );
document.write( "20x = 240<BR>\n" );
document.write( "x=12 Quarters<BR>\n" );
document.write( "34-x=34-12 = 22 Nickels\r<BR>\n" );
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document.write( "Check:  \r<BR>\n" );
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document.write( "12 Quarters = $3.00<BR>\n" );
document.write( "22 Nickels = $1.10\r<BR>\n" );
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document.write( "Total Value = $4.10.  It checks!\r<BR>\n" );
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document.write( "For additional explanation on this topic, please go to my website.  Do a \"Bing\" search for my last name \"Rapalje\".  Look for \"Rapalje Homepage\" at the top of this search.  Look near the top of my Homepage for \"Basic, Intermediate and College Algebra: One Step at a Time\", click on \"Basic Algebra\" and look in Chapter 1 for the topics near the end of the chapter that are related to Word Problems.  \r<BR>\n" );
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document.write( "R^2\r<BR>\n" );
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document.write( "Dr. Robert J. Rapalje, Retired<BR>\n" );
document.write( "Seminole State College of Florida<BR>\n" );
document.write( "Altamonte Springs Campus </SPAN>\n" );
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