SOLUTION: A basketball player scored 24 times during one game. He scored a total of 40 points,2 points for each 2 point shot and 1 point for each free throw. How many 2 point shots did he ma

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Question 665942: A basketball player scored 24 times during one game. He scored a total of 40 points,2 points for each 2 point shot and 1 point for each free throw. How many 2 point shots did he make? How many free throws?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +a+ = number of 2-point shot he took
Let +b+ = number of free throws he took
given:
+a+%2B+b+=+24+
+2a+%2B+b+=+40+
---------------
+2a+%2B+b+=+40+
By substitution:
+2a+%2B+24+-+a+=+40+
+a+=+40+-+24+
+a+=+16+
and
+b+=+24+-+a+
+b+=+24+-+16+
+b+=+8+
He took 16 2-point shots
He took 8 free throws