SOLUTION: Any help with this would be greatly appreciated.
A basketball player scored 16 times during one game. She scored a total of
18 points, two for each​ two-point shot and one
Algebra ->
Systems-of-equations
-> SOLUTION: Any help with this would be greatly appreciated.
A basketball player scored 16 times during one game. She scored a total of
18 points, two for each​ two-point shot and one
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Question 1125414: Any help with this would be greatly appreciated.
A basketball player scored 16 times during one game. She scored a total of
18 points, two for each two-point shot and one for each free throw. How many two-point shots did she make? How many free throws?
She made
___two-point shots. Found 2 solutions by josgarithmetic, greenestamps:Answer by josgarithmetic(39617) (Show Source):
The other tutor who responded often has strange ways of solving problems; I have no idea what the meaning is of the equation she shows....
The usual algebraic method for solving the problem would look something like this:
(1) s+f = 16 (the number of 2-point shots (s), plus the number of free throws (f) is 16)
(2) 2s+f = 18 (the total number of points is 18)
Subtract (1) from (2) to get s = 2.
So she made 2 2-point shots and 14 free throws.
Note that you should be able to solve this kind of problem informally, through logical reasoning. Each 2-point shot is worth 1 more point than each free throw; if the point total was only 2 more than the number of shots, then the number of 2-point shots had to be 2.
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