SOLUTION: Last year, John scored 34 points and did not make any 3 point shots. He scored 23 times and made several free throws worth 1 point each and several goals worth 2 points each. How

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Question 398158: Last year, John scored 34 points and did not make any 3 point shots. He scored 23 times and made several free throws worth 1 point each and several goals worth 2 points each. How many throws did he make? How many 2-point field goals did he make?
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!


Hi

 He scored 23 times

Let x and (23-x) represent the number of 2 pointer's and free throws respectively 

Question states***

  2x + 1*(23-x) = 34

solving for x

       x = 11, the number of 2 pointers.  He made 12 free throws.  (23-11)

CHECKING our Answer***

  2*11 + 12 = 22 + 11 = 34