document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1193413>Question 1193413</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Peter has been saving his loose change for several days. When he counted his quarters and dimes, he found they had a total value $15.80. The number of quarters was nineteen more than three times the number of dimes. How many quarters and how many dimes did Peter have?\r<BR>\n" );
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document.write( "quarters-<BR>\n" );
document.write( "dimes- </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #825447 by </B><A HREF=/tutors/aboutme.mpl?userid=greenestamps><B>greenestamps(13200)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=greenestamps><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=greenestamps><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=825447\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br><BR>\n" );
document.write( "If your mental arithmetic is good, you can solve the problem informally using exactly the same calculations used in the formal algebraic solution shown by the other tutor.<br><BR>\n" );
document.write( "(1) The total value is $15.80<BR>\n" );
document.write( "(2) Take away the \"extra\" 19 quarters. $15.80 - 19($0.25) = $15.80 - $4.75 = $11.05<BR>\n" );
document.write( "(3) Group the remaining coins in groups of 3 quarters and 1 dime, each with a total value of 3($0.25)+1($0.10)=$0.85<BR>\n" );
document.write( "(4) The number of those groups needed to make the remaining $11.05 is $11.05/$0.85 = 13<br><BR>\n" );
document.write( "So in those 13 groups there are a total of 39 quarters and 13 dimes; now add back in the other 19 quarters to get the final answer of 39+19=58 quarters and 13 dimes.<br><BR>\n" );
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