document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=268743>Question 268743</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A soda Machine contains 20 coins. Some of the coins are nickels and the rest are quarters. If the value of the coins is $4.40 find the number of coins of each kind.  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #196919 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=196919\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A soda Machine contains 20 coins. Some of the coins are nickels and the rest are quarters. If the value of the coins is $4.40 find the number of coins of each kind. <BR>\n" );
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document.write( "2-variable solution:<BR>\n" );
document.write( "Equations:<BR>\n" );
document.write( "n + q = 20<BR>\n" );
document.write( "5n + 25q = 440 cents<BR>\n" );
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document.write( "Multiply thru 1st equation by 5 to get:<BR>\n" );
document.write( "5n + 5q = 100<BR>\n" );
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document.write( "Subtract that from the 2nd equation and solve for \"q\":<BR>\n" );
document.write( "20q = 340<BR>\n" );
document.write( "q = 17 (# of quarters)<BR>\n" );
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document.write( "Since n+q = 20, n = 3 (# of nickels)<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
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