SOLUTION: Can you please help me figure this word problem out, i figured that they made 5 two point shots, and 2 free throws, I don't know ho to write it out, or if I am right, here is the p

Question 679374: Can you please help me figure this word problem out, i figured that they made 5 two point shots, and 2 free throws, I don't know ho to write it out, or if I am right, here is the problem:
A basketball player score 9 times during one game. He scored a total of 12 points two for each shot and one for each free throw, How many two point shots did he make? How many free throws?
Found 3 solutions by solver91311, murphworld, MathTherapy:
Answer by solver91311(24713)   (Show Source): You can put this solution on YOUR website!

Let represent the number of field goals and represent the number of free throws.

Solve the 2X2 system. And no, 5 field goals = 10 points and 2 free throws = 2 points for the required 12 points, but 5 + 2 is only 7 shots, not 9.

John

Egw to Beta kai to Sigma
My calculator said it, I believe it, that settles it

Answer by murphworld(1)   (Show Source): You can put this solution on YOUR website!
2-Point Shots - 3
Free Throws - 6

3(2) = 6
6(1) = 6

9 Shots / 12 Points
Answer by MathTherapy(10551)   (Show Source): You can put this solution on YOUR website!

Can you please help me figure this word problem out, i figured that they made 5 two point shots, and 2 free throws, I don't know ho to write it out, or if I am right, here is the problem:
A basketball player score 9 times during one game. He scored a total of 12 points two for each shot and one for each free throw, How many two point shots did he make? How many free throws?

While your answer of 5 two-point shots, and 2 free throws sum to 12 points, they only total 7 shots (5 + 2), so this is INCORRECT!! The correct solution is as follows:

Let amount of 2-point shots scored be T, and amount of free throws, F
Then: T + F = 9 ----- eq (i)
Also, 2T + 1F = 12 ------ eq (ii)

- T = - 3 ----- Subtracting eq (ii) from eq (i)
T, or amount of 2-point shots he made = , or

3 + F = 9 ----- Substituting 3 for T in eq (i)
F, or amount of free throws he made = 9 - 3, or

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