At a basketball game, a team made 51 successful shots. They were a combination of 1- and 2-point shots. The team scored 85 points in all. Write and solve a system of equations to find the number of
each type of shot.

Ian is in training for a national hot dog eating contest on the 4th of july. on his first day of training, he eats 4 hot dogs. each day, he plans to eat 110% of the number of hot dogs he ate the previous day. write an explicit formula that could be used to find the number of hot dogs ian will eat on any particular day.