Acompany manufactures three types of cabinets, type a, type b, and type c. last week, the number of type b cabinets produced was 30 more than 1/2 number of type a cabinets produced. the number of type c cabinets produced was 20 more than 3/2 times the number of type a cabinets produced. if the company made the same number of type b and type c cabinets last week, then the number of type a cabinets produced was . the total number of cabinets produced last week was .