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 the number of type a cabinets produced. the number of type c cabinets produced was 20 more than 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 .

Using a system of equations, it is found that:

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Same number of type B and type C, thus:

The number of type A cabinets produced was 10.

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For B and C:

Thus, in total:

The total number of cabinets produced last week was 80.

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