Lucy joined a math test which had the scoring rules below: for any correct answer, she got $5$ points; for any skipped or wrong answer, she lost $7$ points. There were $20$ problems in total. When she finished the test, she got only $4$ points. How many problems did she answer correct? 
选项为:A:$$4$$  B:$$8$$  C:$$12$$  D:$$16$$  E:$$3$$  请回答其中一个选项.