Misc 13 - How many litres of water will be added to 1125 litres - Miscellaneous

Slide27.JPG
Slide28.JPG Slide29.JPG

  1. Class 11
  2. Important Question for exams Class 11
Ask Download

Transcript

Misc 13 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? Volume of existing solution = 1125 litres Amount of acid in it = 45% of 1125 Hence, amount of water in it = 55% of 1125 = 55﷮100﷯ × 1125 Let amount of water added be x litres So, Volume of new solution = 1125 + x Now, given that the new solution will contain more than 25% acid content Hence, 25 % of (1125 + x) = 506.25 25 % × (1125 + x) = 506.25 25﷮100﷯ × (1125 + x) = 506.25 1﷮4﷯ × (1125 + x) = 506.25 1﷮4﷯ × (1125 + x) = 506.25 (1125 + x) = 506.25 × 4 1125 + x = 2025 x = 2025 – 1125 x = 900 Similarly, maximum acid content is 30% Hence, 30 % of (1125 + x) = 506.25 30 % × (1125 + x) = 506.25 30﷮100﷯ × (1125 + x) = 506.25 3﷮10﷯ × (1125 + x) = 506.25 (1125 + x) = 506.25 × 10﷮3﷯ (1125 + x) = 1687.5 x = 1687.5 – 1125 x = 562.5 Hence, acid content should be between 25% and 30% i.e. amount of water added should be between 900 & 562.5 litres i.e. 562.5 < x < 900

About the Author

Davneet Singh's photo - Teacher, Computer Engineer, Marketer
Davneet Singh
Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 7 years. He provides courses for Mathematics and Science from Class 6 to 12. You can learn personally from here https://www.teachoo.com/premium/maths-and-science-classes/.
Jail