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Explanation:

Let total number of black balls be 100b and total number of white balls be 100w.
∴ 100w + 100b = 450
⇒ w + b = 4.5   …(1)

According to the question.
Number of metallic balls:
White metallic = 40% of 100w = 40w
Black metallic = 50% of 100b = 50b

Now, 40w = 50b
⇒ w = 1.25b   …(2)

From (1) and (2)
1.25b + b = 4.5
⇒ b = 2 and w – 2.5

∴ Number of non-metallic white balls = 60% of 100w = 150
and, number of non-metallic black balls = 50% of 100b = 100

∴ Total number of non-metallic balls = 150 + 100 = 250

Hence, 250.

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