When Carolina$$s house burned down, she lost household items worth a total of $$115,000.$ Her house was insured for $$215,000,$ and her homeowner$$s policy provided coverage for personal belongings up to $60$ percent of the insured value of the house.

a$.$ Calculate how much insurance coverage Carolina's policy provides for her personal possessions.

b$.$ Will she receive full payment for all of the items destroyed in the fire?