Hamburgers and hot dogs for 100 at block party

I have been asked to procure the meat and cook hamburgers and hotdogs for my neighborhood's block party. Nothing fancy. Regular size hot dogs (80/case) and 1/4 pound Sam's Club 75/25 seasoned frozen beef patties (48/case). Others will bring side dishes, so it's not just the meats. We expect 68 adults and 31 kids from toddlers to teens, including some hungry teen boys. We don't want to run out but also don't want to overshoot too much.

Thanks for any suggestions regarding how many of each to get.