# How many litres of water will have to be added to 1125 litres of the 45% solution of acid?

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How many litres of water will have to be added to 1125 litres of the 45% solution of acid so that the resulting mixture will contain more than 25% but less than 30% acid content?

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Solution:

Let x litres of water is required to be added.

Then, total mixture = ( x + 1125) litres

It is evident that the amount of acid contained in the resulting mixture is 45% of 1125 litres.

This resulting mixture will contain more than 25% but less than 30% acid content.

∴30% of (1125 + x ) > 45% of 1125

And, 25% of (1125 + x ) < 45% of 1125

30 % of (1125 + x ) > 45% of 1125 25% of (1125 + x ) < 45% of 1125 ∴562.5 < x < 900

Thus, the required number of litres of water that is to be added will have to be more than 562.5 but less than 900.

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Thanks, and you are always welcome to ask any question.