document.write( "Question 166801This question is from textbook California Algebra 1
\n" ); document.write( ": In Basketball, a free throw is 1 point and a field goal is either 2 or 3 points. In a recent season, Tim Duncan of the San Antonio Spurs scored a total of 1342 points. The total number of 2-point field goals and 3-point field goals was 517, and he made 305 of 455 free throws that he attempted. Find the number of 2-point field goals and 3-point field goals Duncan made that season. \n" ); document.write( "

Algebra.Com's Answer #122900 by josmiceli(19441) $\"\"$ $\"About$

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Let $\"f\"$ = number of freethrows made
\n" ); document.write( "Let $\"d\"$ = number of 2-point shots made
\n" ); document.write( "Let $\"t\"$ = number of 3-point shots made
\n" ); document.write( " $\"1%2Af+%2B+2d+%2B+3t+=+1342\"$
\n" ); document.write( " $\"d+%2B+t+=+517\"$
\n" ); document.write( " $\"f+=+305\"$
\n" ); document.write( "------------------------
\n" ); document.write( " $\"t+=+517+-+d\"$
\n" ); document.write( " $\"305+%2B+2d+%2B+3%2A%28517+-+d%29+=+1342\"$
\n" ); document.write( " $\"305+%2B+2d+%2B+1551+-+3d+=+1342\"$
\n" ); document.write( " $\"-d+=+1342+-+1551+-+305\"$
\n" ); document.write( " $\"d+=+1856+-+1342\"$
\n" ); document.write( " $\"d+=+514\"$
\n" ); document.write( " $\"t+=+517+-+d\"$
\n" ); document.write( " $\"t+=+3\"$
\n" ); document.write( " $\"305+%2B+2%2A514+%2B+3%2A3+=+1342\"$
\n" ); document.write( " $\"305+%2B+1028+%2B+9+=+1342\"$
\n" ); document.write( " $\"1342+=+1342\"$
\n" ); document.write( "Duncan made 514 2-point shots and 3 3-point shots
\n" ); document.write( " \n" ); document.write( "

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