document.write( "Question 153846: I need help with this word problem\r
\n" ); document.write( "\n" ); document.write( " during the 2003 NBA playoffs, the top-scoring player was Kobe Bryant of the Los Angeles Lakers. Bryant scored a totals of 385 points during the playoffs. The number of free throws (each worth one point) he made was 11 more than three times the number of three-point field goals he made. Bryant also made 26 fewer free throws than two-point field goals. How many free throaw, two point field goals. and three point field goals did Kobe Bryant make during the 2003 playoffs?
\n" ); document.write( "please help me with this equation
\n" ); document.write( "thanks \n" ); document.write( "

Algebra.Com's Answer #113211 by josmiceli(19441) $\"\"$ $\"About$

You can put this solution on YOUR website!
Let $\"f\"$ = the number of free throws he made
\n" ); document.write( "Let $\"t\"$ = the number of three-point shots he made
\n" ); document.write( "Let $\"s\"$ = the number of two-point shots he made
\n" ); document.write( "The problem says
\n" ); document.write( "(1) $\"f%2A1+%2B+t%2A3+%2B+s%2A2+=+385\"$
\n" ); document.write( "and
\n" ); document.write( "(2) $\"f+=+3t+%2B+11\"$
\n" ); document.write( "(3) $\"f+=+s+-+26\"$
\n" ); document.write( "----------------
\n" ); document.write( "(2) $\"f+=+3t+%2B+11\"$
\n" ); document.write( "Solve for $\"t\"$
\n" ); document.write( " $\"3t+=+f+-+11\"$
\n" ); document.write( " $\"t+=+%281%2F3%29%2Af+-+11%2F3\"$
\n" ); document.write( "----------------
\n" ); document.write( "(3) $\"f+=+s+-+26\"$
\n" ); document.write( "Solve for $\"s\"$
\n" ); document.write( " $\"s+=+f+%2B+26\"$
\n" ); document.write( "----------------
\n" ); document.write( "Now plug the expressions for $\"s\"$ and $\"t\"$
\n" ); document.write( "back into (1)
\n" ); document.write( "(1) $\"f%2A1+%2B+t%2A3+%2B+s%2A2+=+385\"$
\n" ); document.write( " $\"f%2A1+%2B+%28%281%2F3%29%2Af+-+%2811%2F3%29%29%2A3+%2B+%28f+%2B+26%29%2A2+=+385\"$
\n" ); document.write( " $\"f+%2B+f+-+11+%2B+2f+%2B+52+=+385\"$
\n" ); document.write( " $\"4f+=+385+%2B+11+-+52\"$
\n" ); document.write( " $\"4f+=+344\"$
\n" ); document.write( " $\"f+=+86\"$
\n" ); document.write( "--------------
\n" ); document.write( "And since,
\n" ); document.write( "(2) $\"f+=+3t+%2B+11\"$
\n" ); document.write( " $\"86+=+3t+%2B+11\"$
\n" ); document.write( " $\"3t+=+75\"$
\n" ); document.write( " $\"t+=+25\"$
\n" ); document.write( "--------------
\n" ); document.write( "Also,
\n" ); document.write( "(3) $\"f+=+s+-+26\"$
\n" ); document.write( " $\"86+=+s+-+26\"$
\n" ); document.write( " $\"s+=+112\"$
\n" ); document.write( "--------------
\n" ); document.write( "Kobe made $\"86\"$ freethrows, $\"25\"$ 3-pointers,
\n" ); document.write( "and $\"112\"$ 2-point shots
\n" ); document.write( "Check the answer:
\n" ); document.write( "(1) $\"f%2A1+%2B+t%2A3+%2B+s%2A2+=+385\"$
\n" ); document.write( "(1) $\"86%2A1+%2B+25%2A3+%2B+112%2A2+=+385\"$
\n" ); document.write( " $\"86+%2B+75+%2B+224+=+385\"$
\n" ); document.write( " $\"385+=+385\"$
\n" ); document.write( "OK \n" ); document.write( "

\n" );