Types of breast cancer

There are two types of breast cancer. Type A is very fatal (case fatality 50% within a tear) and type B has an effective treatment and almost 80% are cured within a year. These two cancers have the same incident rate.

a. Explain which cancer has a higher prevalence?

b. If a new treatment is discovered for type A that cures half the people who would have died in the first year. How would this affect the prevalence of each type?