document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1125414>Question 1125414</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Any help with this would be greatly appreciated.<BR>\n" );
document.write( "A basketball player scored 16 times during one game. She scored a total of <BR>\n" );
document.write( "18 points, two for each&#8203; two-point shot and one for each free throw. How many&#8203; two-point shots did she &#8203;make?  How many free&#8203; throws?\r<BR>\n" );
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document.write( "She made<BR>\n" );
document.write( " ___two-point shots. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #741760 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=741760\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br><BR>\n" );
document.write( "The other tutor who responded often has strange ways of solving problems; I have no idea what the meaning is of the equation she shows....<br><BR>\n" );
document.write( "The usual algebraic method for solving the problem would look something like this:<br><BR>\n" );
document.write( "(1) s+f = 16  (the number of 2-point shots (s), plus the number of free throws (f) is 16)<BR>\n" );
document.write( "(2) 2s+f = 18  (the total number of points is 18)<br><BR>\n" );
document.write( "Subtract (1) from (2) to get s = 2.<br><BR>\n" );
document.write( "So she made 2 2-point shots and 14 free throws.<br><BR>\n" );
document.write( "Note that  you should be able to solve this kind of problem informally, through logical reasoning.  Each 2-point shot is worth 1 more point than each free throw; if the point total was only 2 more than the number of shots, then the number of 2-point shots had to be 2. </SPAN>\n" );
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