document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1203239>Question 1203239</A>: <I><SPAN STYLE=\"word-break: break-all;\"> stella has 63 coins .the coins are a mixture of quarters and dimes .she has a total of $10.80 . how many quarters and how many dimes does stella have </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #838654 by </B><A HREF=/tutors/aboutme.mpl?userid=greenestamps><B>greenestamps(13203)</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=838654\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br><BR>\n" );
document.write( "I like the semiformal approach used by tutor Math_tutor2020....  But the numbers are easier to work with if you start by considering the case where all 63 coins are dimes.  Then<br><BR>\n" );
document.write( "63 dimes make 63($0.10) = $6.30<BR>\n" );
document.write( "The actual total is $10.80, which is $4.50 more than $6.30<BR>\n" );
document.write( "The difference between the value of a dime and a quarter is 15 cents, or $0.15<BR>\n" );
document.write( "The number of quarters needed to make the additional $4.50 is $4.50/$0.15 = 30<br><BR>\n" );
document.write( "ANSWER: 30 quarters, so 63-30 = 33 dimes<br><BR>\n" );
document.write( "Here is a solution using logical reasoning and one calculator calculation.  This method is not efficient, but it gives you good practice with logical reasoning.<br><BR>\n" );
document.write( "(1) The average value of the coins is $10.80/63 = 17.14 cents approximately.  That average is just a bit closer to 10 cents than to 25 cents, so the number of dimes should be a just a bit more than the number of quarters.<BR>\n" );
document.write( "(2) With a total value of $10.80, we know that the number of quarters must be even, and the number of dimes must be 3 more than a multiple of 5.<br><BR>\n" );
document.write( "A bit of logical reasoning with (1) and (2) tells us that almost certainly the answer is 30 quarters and 33 dimes.<br><BR>\n" );
document.write( "And performing a simple calculation verifies that solution to be correct.<br><BR>\n" );
document.write( "30($0.25)+33($0.10) = $7.50+$3.30 = $10.80<br><BR>\n" );
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