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how many quarts of water do you need to add to 40 quarts of 80 percent alcohol to get a solution of 10 percent alcohol?
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\[ 40\cdot 0.2+x=(x+40)\cdot 0.9 \] Solve that.
vol of alcohol=40*80/100=32 vol of final soln such that alc=10% means 320quarts hence water to be added=320-40=280
Those two answers are equivalent.
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