Question 387091
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Hi, 
9 more 2-pointers than foul shots, 46 baskets in all   
Let x  and (x+9) represent the number of foul shots and 2-pointers respectively
then 3 pointers would be [46 - x - (x+9))] 0R (37-2x)
Question States***total of 81 points
 1*x + 2*(x+9) + 3*(37-2x) = 81
Solving for x
 1x + 2x+ 18 + 111 -6x = 81
       129 - 3x = 81 
            48 = 3x
            16 = x, the number of foul shots.  
            25 2-pointers,  (16+9)
             5 3-pointers   (46 - 16 - 25)
CHECKING our Answer***
 50 + 15 + 16 = 81 points total