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?

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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