Jarex has a mixture of water and alcohol. The concentration of alcohol is . He then added more liter of alcohol and now the alcohol concentration has increased by .
What is the amount of water concentration (in liters)?
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Let the mixture (before adding the additional alcohol) be x . Before adding one liter of alcohol into the mixture, the water concentration was 7 6 % . After the addition of alcohol, the water concentration became 7 5 % . But its amount never changed since alcohol was only added. We can set up an equality with this information.
7 6 % of x = 2 5 1 9 x = 7 6 x = 7 6 x = 7 6 x − 7 5 x = x = 7 5 % of ( x + 1 ) 4 3 ( x + 1 ) 7 5 ( x + 1 ) 7 5 x − 7 5 7 5 7 5
7 6 % of 7 5 liters or 7 5 % of 7 6 liters is 5 7 liters.