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How many liters of water will …

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

Posted by Ankit Verma 7 years, 3 months ago

CBSE > Class 11 > Mathematics

1 answers

Nitin Singh 7 years, 3 months ago

Let x letre water to be added then total mixure =(1125) The resulting mixure will contain more than 25% but less than 30% =30% of( x+1125)>45%of1125 -(1) And25%of (x+1125)<45%of 1125 -(2) (1) equation Now 30/100(x+1125)>45/100(1125) =30x +33750>50625 =30x>50625-33750 =30x>16875 =x >562.5 Now equation (2) 25% of(x +1125)< 45% of 1125 =25/100(x +1125)< 45/100(1125) =25x +28125 < 50625 =25x < 50625-28125 =25x < 22500 =x <900 The water will be added more than 562.5 letres and less than 900 letres

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