Bayes Theorem: Car Owners and Homeowners

In a certain city, 70% of residents own a car. Among car owners, 80% are also homeowners. Conversely, 50% of those who do not own a car are homeowners. If a randomly selected resident of the city is known to own a car, what is the probability that this resident is also a homeowner? Use Bayes' Theorem to calculate this probability.