SOLUTION: In a basketball game there are three point shots, two point shots and one point free throws. If, as part of the scoring a total of 48 points, a team made nine free throws, how ma

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: In a basketball game there are three point shots, two point shots and one point free throws. If, as part of the scoring a total of 48 points, a team made nine free throws, how ma      Log On


   

Question 1025206: In a basketball game there are three point shots, two point shots and one point free throws. If, as part of the scoring a total of 48 points, a team made nine free throws, how many three-point shots could they have made?
Answer by fractalier(6550) About Me  (Show Source):
You can put this solution on YOUR website!
If they made 9 free throws, that leaves 39 points for 2 and 3 pointers...
So the various ways this can happen are
13 3's
11 3's and 3 2's
9 3's and 6 2's
7 3's and 9 2's
5 3's and 12 2's
3 3's and 15 2's
1 3 and 18 2's