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A 20-gallon container is filled halfway with a mixture that is 90% vinegar and 10% water. How many gallons of water must be added for the mixture to become 60% vinegar and 40% water?

 May 26, 2020
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10 gallons to start with

adding 'x' gallons of water      final volume = 10 + x

 

.9 (10) = amount of vineger

.1(10) = amount of water

 

amount of vineger before and after water addition is constant

 

.9(10) = .6(10+x)  

9 = 6 + .6x

3 = .6x

x = 5 gallons of water to be added

 May 26, 2020

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