Question 981491:  Noah is practicing basketball.  He scored a three-pointer on his 7th shot, and from then on he makes a three-pointer in every 8 shots.  How many three-pointers does he make from his 33rd shot to his 100th shot?
 
I got 9, but I am not always correct.  Thanks for the help. I appreciate it! 
 Answer by Boreal(15235)      (Show Source): 
You can  put this solution on YOUR website! This one I would do without algebra. 
He makes a 3 pointer 
15,23,31,39,47,55,63,71,79,87,95.
 
He makes 8 after his 33rd shot. 
There are 68 shots from the 33rd, so 9 is possible, but making one on his 31 makes it impossible. 
  | 
 
  
 
 |   
 
 |