Problem Write-up: Comparing Mortgage Loans

The problem you must solve is:You are applying for a mortgage for $180,000 to buy a house. You shop around and find these two possible mortgage options:
A 20 year mortgage loan with an APR of 5%
A 30 year mortgage loan with an APR of 4%
What are your monthly payments with each loan?
How much will you pay over the life of each loan? How much of that is interest?
Which option would you choose? Explain your reasoning, taking into account your answers to both (1) and (2).