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

+4 votes
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asked Dec 28, 2016 in Mathematics by Rohit Singh (61,782 points) 36 143 463

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?

1 Answer

+5 votes
answered Dec 28, 2016 by Abhishek Kumar (14,593 points) 5 9 37
selected Dec 29, 2016 by Rohit Singh
 
Best answer

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

image

25% of (1125 + x ) < 45% of 1125

image

∴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.

commented Jul 10, 2017 by ನವೀನ್ ಗಲೂಟ್ (10 points) 2
It's best among the best answers...
Hats off u
commented Jul 10, 2017 by Abhishek Kumar (14,593 points) 5 9 37
Thanks, and you are always welcome to ask any question.

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