Michael breeds chickens and ducks. Last month, he sold $50$ chickens and $30$ ducks for $\$550$. This month, he sold $44$ chickens and $36$ ducks for $\$532$. **How much does a chicken cost, and how much does a duck cost?** A chicken costs $\$$[[☃ numeric-input 1]] and a duck costs $\$$[[☃ numeric-input 2]].