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How much pure disinfectant must be added to 30 gallons of an 8% solution to increase its strength to 25%?
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Let x be the volume of the pure disinfectant under the question, in gallons.
Then the volume of the new mixture will be (30 + x) and the volume content of the pure disinfectant in the new mixture
will be 0.08*30 + x gallons.
So, the concentration equation is
= 0.25.
Simplify and solve it for x:
2.4 + x = 0.25*(30+x),
2.4 + x = 7.5 + 0.25x,
x - 0.25x = 7.5 - 2.4,
0.75x = 5.1 ----> x = = 6.8.
Answer. 6.8 gallons of the pure disinfectant must be added.