Bear in our Camp at Glacier

We were coming back from a morning hike, strolling to our camper, when a woman came up to us and said there is a Grizzly just up ahead 5 campsites down on the left.  She said I'm not going any where near there as she backed away from us. We had our bear spray,  as we rounded the corner we saw the Rangers yelling and making noise, with shot guns they chased the bear through the campsite and up the mountain on the other side of the river.   They fired a shot to scare it. Jim ran after them and got some great shots as it came out of the woods.  It was really exciting. They hope it won't come back to the campsite if it does they have to shoot it. They say a fed Bear is a dead bear.  If it comes to the camp looking for food.