SOLUTION: Please help me solve this word problem- While playing basketball, Mr. Koster scored 32 points. Points came from a combination of free throws, 2-pointers and 3-pointers. He made 19

Question 676981: Please help me solve this word problem- While playing basketball, Mr. Koster scored 32 points. Points came from a combination of free throws, 2-pointers and 3-pointers. He made 19 baskets in total with half as many 2-pointers as free throws. How many of each type of basket did he make?
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Let = number of free throws
Let = number of 2-pointers
Let = number of 3-pointers
given:
(1)
(2)
(3)
---------------
Substitute (3) into (1)
(1)
(1)
Substitute (1) and (3) into (2)
(2)
(2)
(2)
(2)
(2)
(2)
and, since
(1)
(1)
(1)
and
(3)
(3)
(3)
The number of free throws is 10
The number of 2-pointers is 5
The number of 3-pointers is 4
---------------------------
check:
(2)
(2)
(2)
(2)
OK

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