A manufacturer has 300 litres of a 6 percent solution of acid. How many litres of a 30 percent acid solution must be added to it so that the acid content in the resulting mixture will be more than 15 percent but less than 18 percent?
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Step-by-step explanation:
Let us assume x % of acid to be added ,then
Total mixture =(x+600) litres
Therefore
30%x+12%of600>15%of(x+600)
and 30%x+12%of600<18%of(x+600)
100
30x
+
100
12
(600)>
100
15
(x+600)
and
100
30x
+
100
12
(600)<
100
18
(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 litres but less than 300 litres
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