Let number of canaries be x and number of cats be y.
We have:
x + y = 52 --- (1)
2x + 4y = 182 --- (2)
From (1), we have:
y = 52 - x --- (3)
Substituting (3) into (2), we will get:
2x + 4(52 - x) = 182
2x + 208 - 4x = 182
4x - 2x = 208 - 182
2x = 26
x = 13
Substituting x = 13 into (3), we will have:
y = 52 - 13
y = 39
Hence, there are 13 canaries and 39 cats.