Have you ever tried carrying 100 arrows?
That's a lot of arrows, but its not unreasonable to carry 300 .223 rounds in 10 30rd mags.
I love both weapons and there are advantages to each, but regarding modern combat, the firearm will dominate every time.
For me, the bow is a fantastic self reliance weapon, but I'd take dang near any firearm- if I knew I was going into a firefight- before a bow