Question 5
Halfway through a $100$-shot archery tournament, Chelsea leads by $50$ points. For each shot a bullseye scores $10$ points, with other possible scores being $8,$ $4,$ $2,$ and $0$ points. Chelsea always scores at least $4$ points on each shot. If Chelsea’s next $n$ shots are bullseyes she will be guaranteed victory. What is the minimum value for $n?$