manufacturer has 600 litres of a 12% solution of acid. How many litres of a 30% acid
solution 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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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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