SOLUTION: I need help with this word problem. I think I have 2/3 equations set up correctly, but I am stuck on writing one. Here's the problem: During the 2003 NBA playoffs, the top-scori

Question 269222: I need help with this word problem. I think I have 2/3 equations set up correctly, but I am stuck on writing one. Here's the problem:
During the 2003 NBA playoffs, the top-scoring player was Kobe Bryant. He scored a total of 385 points during the playoffs. The number of free throws (each worth one point) he made was 11 more than three times the number of three point field goals he made. Bryant also made 26 fewer free throws than two-point field goals. How many free throws, two point field goals, and three-point field goals did Kobe Bryant make during the playoffs?
I have x = 3y + 11
x = z - 26
x + y + z = 385
Please help!
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Let = number of freethrows he made
Let = number of 2-point shots he made
Let = number of 3-point shots he made
given:
(1)
(2)
(3)
----------------
Substitute (3) into (1)
(1)

Substitute this result into (2)
(2)

and, since
(3)

and

Kobe made 86 freethrows,
112 2-point shots, and
25 3-point shots
check:
(1)

OK

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