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Suppose L litres are required.

@ 40% it will contain 0.4L of the active ingredient.

Then total volume of mixture = L + 100 litres

and volume of active ingredient = 0.4L + 25 litres

The strength is (0.4L + 25)/(L + 100) = 30% = 0.3

(0.4L + 25) = 0.3*(L + 100)

0.4L + 25 = 0.3*L + 30

0.1L = 5

L = 50 litres.

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Q: How many liters of a 40 percent acid solution must be added to 100 liters of a 25 percent solution to obtain a 30 percent solution?
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