1.

Manufacturer has 600 litres of a 12% solution of acid. How many litres of a 30% acidsolution must be added to it so that the acid content in the resulting mixture will be more than 15% but less than 18%?​

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Answer:

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let's "X" liters of 35% acid solution is required to be added

Then

Total mixture = (x + 600) liters.

Therefore,

30% x + 12% of 600 > 15% of (x+600)

30x/100 + 12/100 (600)>  15/100   (x+600)

and  30x/100  + 12/100(600) <  18/100  (x+600)

30x + 7200 > 15x + 9000

               and

30x + 7200 < 18x + 10800

  15x > 1800 & 12x <3600

    x > 120 & x < 300

Thus the no of 30% solution acid should be more than 120 liters but less than 300 liters


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