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Suppose there are G gallons of the 30% mix.

Then G gallons of 30% contain 0.3*G gallons of the active ingredient.

Also 10% gallons = 0.1 gallons of 93% contain 0.093 gallons of the active ingredient.

Therefore, the total volume is G+0.1 gallons which contains 0.3*G + 0.093 gallons of the active ingredient.

So its strength is (0.3*G + 0.393)/(G+0.1) which is 65% or 0.65

Thus 0.3*G + 0.093 = 0.65*G + 0.065

So that 0.028 = 0.35G

Or G = 0.08 gallons

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Q: How many gallons of 30 percent antifreeze should be mixed with 10 percent gallons of 93 percent antifreeze to obtain a 65 percent antifreeze mixture?
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