document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1196792>Question 1196792</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A student makes a $10.50 purchase at the bookstore with a $20 bill. The store has no bills and gives a change in quarters and 50 Cent pieces. There are 30 coins and all. How many of each kind are there? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #829795 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=829795\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br><BR>\n" );
document.write( "If a formal algebraic solution is needed, use one like that provided in the response from the other tutor.<br><BR>\n" );
document.write( "But this kind of relatively easy problem can provide good problem-solving practice and good mental exercise by solving it using logical reasoning and basic arithmetic.<br><BR>\n" );
document.write( "(1) The required change is $9.50.<BR>\n" );
document.write( "(2) If all 30 coins were quarters, that would be only $7.50, which is $2.00 short of the required total.<BR>\n" );
document.write( "(3) Since each half dollar is worth $0.25 more than each quarter, the number of half dollars needed to make the addition $2.00 is 200/25 = 8.<br><BR>\n" );
document.write( "So there were 8 half dollars, which means 30-8 = 22 quarters.<br><BR>\n" );
document.write( "ANSWER: 8 half dollars; 22 quarters<br><BR>\n" );
document.write( "CHECK: 8(50)+22(25) = 400+550 = 950<br><BR>\n" );
document.write( " </SPAN>\n" );
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