A company 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.

Question

Ana Bright

Mathematics

5 January, 16:19

A company 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.

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Answers (1)

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Jacquelyn Mcdonald · Answer 1

B = 0.5A + 30

C = 1.5A + 20

If B = C, that means we can set the two equations equal to each other.

0.5A + 30 = 1.5A + 20

A = 10 ... Plug that into one of the equations to find B or C (they are the same) ...

B = 0.5 * 10 + 30 = 35

35 + 35 + 10 = 80 total.