SOLUTION: I need help with this word problem
during the 2003 NBA playoffs, the top-scoring player was Kobe Bryant of the Los Angeles Lakers. Bryant scored a totals of 385 points during
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Question 153846: I need help with this word problem
during the 2003 NBA playoffs, the top-scoring player was Kobe Bryant of the Los Angeles Lakers. Bryant scored a totals 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 throaw, two point field goals. and three point field goals did Kobe Bryant make during the 2003 playoffs?
please help me with this equation
thanks
Found 2 solutions by stanbon, josmiceli:
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Bryant scored a totals 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 2003 playoffs?
--------------------------------
EQUATIONS:
f = 3r + 11
f = t - 26
f + 2t + 3r=385
-------------------------
Rearrange:
f + 2t + 3r = 385
f + 0t - 3r = 11
f - t + 0r = -26
-------------------------
Solve the system of equations by any method to get:
# of free throws = 86
# of two-pointers = 112
# of three-pointers = 25
-------------------------
Cheers,
Stan H.
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Let = the number of free throws he made
Let = the number of three-point shots he made
Let = the number of two-point shots he made
The problem says
(1)
and
(2)
(3)
----------------
(2)
Solve for
----------------
(3)
Solve for
----------------
Now plug the expressions for and
back into (1)
(1)
--------------
And since,
(2)
--------------
Also,
(3)
--------------
Kobe made freethrows, 3-pointers,
and 2-point shots
Check the answer:
(1)
(1)
OK
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