Cost of travelling around Europe for a month?

My sister and I are planning on going to Europe in a year or two. I found a tour site that offers sixteen days for about 5000 dollars in various countries in Europe. I'm not sure if I want to go with a tour though. So how much would it cost to travel around Europe for about a month? I'd prefer to go when... show more My sister and I are planning on going to Europe in a year or two. I found a tour site that offers sixteen days for about 5000 dollars in various countries in Europe. I'm not sure if I want to go with a tour though. So how much would it cost to travel around Europe for about a month? I'd prefer to go when it's not so hot and I don't mind if it's raining so we'd probably go in March or April. We'd also prefer hotels instead of hostels but they don't need to be expensive hotels. Or even some really nice hostels would be good. We would be for sure going to Ireland, Scotland, Germany, Italy, London and a couple other places.

Thanks
Update: Also, we'd be leaving from Canada
Update 2: We'd for sure be going to France as well
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