Burr was looking at purchasing pigeons. His annual pigeon budget of $80 didn’t provide him with as much purchasing power this year as last. He had to purchase four fewer pigeons this year. If the price increase per bird was one dollar, how many pigeons was he able to purchase this year
Let's assume that Burr was able to purchase x pigeons last year.
Therefore, his total expenditure on pigeons last year was $x (since each pigeon costed $1).
This year, he had to purchase four fewer pigeons, so the total number of pigeons he could purchase was (x - 4).
Since the price increased by $1 per bird, the cost of each pigeon this year was $2.
Thus, his total expenditure on pigeons this year was $2 * (x - 4) = $80.
Simplifying the equation, we have 2x - 8 = 80
Adding 8 to both sides, we get 2x = 88
Dividing both sides by 2, we get x = 44
Therefore, Burr was able to purchase 44 pigeons last year and 44 - 4 = <<44-4=40>>40 pigeons this year. Answer: \boxed{40}.