Two factory plants are making TV panels. Yesterday, Plant A produced 4000 fewer panels than Plant B did. Two percent of the panels from Plant A and 4% of the panels from Plant B were defective. How many panels did Plant B produce, if the two plants together produced 700 defective panels?

Respuesta :

Answer:

Plant B produced  17000 panels.

Step-by-step explanation:

Two factory plants are making TV panels.

Yesterday, Plant A produced 3000 fewer panels than Plant B did.

Five percent of the panels from Plant A and 4% of the panels from Plant B were defective.

How many panels did Plant B produce, if the two plants together produced 1380 defective panels?

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   A = B - 3000           (1)     ("Plant A produced 3000 fewer panels than Plant B did")

0.05A + 0.04*B = 1380.     (2)     (counting defective panels)

Substitute expression (1) into eq(2). You will get

0.05*(B-3000) + 0.04*B = 1380,

0.05*B - 150 + 0.04*B = 1380,

0.09*B = 1380 + 150 = 1530  ====>  B = 1530%2F0.09 = 17000.

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