SOLUTION: 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 n

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Question 166801This question is from textbook California Algebra 1
: 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. This question is from textbook California Algebra 1

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let f= number of freethrows made
Let d= number of 2-point shots made
Let t= number of 3-point shots made
1%2Af+%2B+2d+%2B+3t+=+1342
d+%2B+t+=+517
f+=+305
------------------------
t+=+517+-+d
305+%2B+2d+%2B+3%2A%28517+-+d%29+=+1342
305+%2B+2d+%2B+1551+-+3d+=+1342
-d+=+1342+-+1551+-+305
d+=+1856+-+1342
d+=+514
t+=+517+-+d
t+=+3
305+%2B+2%2A514+%2B+3%2A3+=+1342
305+%2B+1028+%2B+9+=+1342
1342+=+1342
Duncan made 514 2-point shots and 3 3-point shots