Situation: Danny Heater set the national high school record for most points scored in a basketball game with 135 points on January 6, 1960. Billy Baller has a chance to break Danny's record at tonight's game. It is half-time and Billy has already made 7 free throw shots worth one point each as well as multiple two point and three point shots. Billy wants to know if he makes more two point shots than three point shots, what is the minimum number of two point shots he can make and break Danny's record.

Product: Determine the minimum number of two point shots that Billy could make during the game to break Danny's record. You must show Billy mathematical proof that you have correctly found the minimum number of two
point shots he must score to break Danny's record.
**please show all work**