document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1196561>Question 1196561</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Sandy Brondello scored 24 points in a recent basketball game without making any 3-point<BR>\n" );
document.write( "shots. She scored 16 times, making several free throws worth 1 point each and several field<BR>\n" );
document.write( "goals worth two points each. How many free throws did she make? How many 2-point<BR>\n" );
document.write( "field goals did she make?<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #829462 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=829462\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br><BR>\n" );
document.write( "The response from the other tutor shows a good typical formal algebraic solution -- which is probably what you were looking for.<br><BR>\n" );
document.write( "However, you can get good mental problem-solving practice by solving the problem informally, using logical reasoning and simple arithmetic.  Here are a couple of different ways.<br><BR>\n" );
document.write( "(1) 16 1-point free throws would have scored only 16 points; the actual total was 24-16 = 8 more than that.  Since each field goal is worth 1 point more than each free throw, the number of field goals must have been 8.<br><BR>\n" );
document.write( "(2) 24 points on 16 shots is an average of 24/16 = 1.5.  Since the average is exactly halfway between 1 and 2, the numbers of free throws and field goals must have been the same, so the number of field goals was 16/2 = 8.<br><BR>\n" );
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