document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=901029>Question 901029</A>: <I><SPAN STYLE=\"word-break: break-all;\"> For 2010, the WNBA's top scorer was Diana Taurasi of the Phoenix Mercury. She scored a total of 745 points during the reglular season. The number of two-point field goals Taurasi made was 36 fewer than two times the humber of of three-point field goals she made. The number of free-throws (each worth one point) she made was 61 more than the number of two-point field goals she made. Find how many free throws, two-point field goals and three-point field goals Diana Taurasi made during the 2010 regular season.  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #546388 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=546388\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> For 2010, the WNBA's top scorer was Diana Taurasi of the Phoenix Mercury. She scored a total of 745 points during the reglular season. The number of two-point field goals Taurasi made was 36 fewer than two times the humber of of three-point field goals she made. The number of free-throws (each worth one point) she made was 61 more than the number of two-point field goals she made. Find how many free throws, two-point field goals and three-point field goals Diana Taurasi made during the 2010 regular season. <BR>\n" );
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document.write( "Eq: o + 2t + 3r = 745 points<BR>\n" );
document.write( "Quantity: t = 2r - 36<BR>\n" );
document.write( "o = t + 61<BR>\n" );
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document.write( "Substitute and solve for \"t\":<BR>\n" );
document.write( "t+61 + 2t + 3(t+36)/2 = 745<BR>\n" );
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document.write( "3t + 61 + 3(t+36)/2 = 745<BR>\n" );
document.write( "6t + 122 + 3t + 108 = 1490<BR>\n" );
document.write( "9t + 230 = 1490<BR>\n" );
document.write( "9t = 1260<BR>\n" );
document.write( "t = 140 (# of 2-pt goals)<BR>\n" );
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document.write( "Solve for \"r\" and for \"o\"::<BR>\n" );
document.write( "r = (36+t)/2 = 176/2 = 88 (# of 3-pt goals)<BR>\n" );
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document.write( "o = t + 61 = 201 (# of free throws)<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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