1. A vessel contains 64 litres of mixture of milk and water in the ratio 7 : 3 respectively. 8 litres of mixture is replaced by 8 litres of milk. What is the ratio of milk and water in the resulting mixture ?
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By: anil on 05 May 2019 01.20 am
Solution of milk and water in vessel = 64 litres ration of Milk:Water = 7:3 using $$frac{water concentration final}{total} = frac{initial water conc.}{total}(1- frac{removed volume}{total})^n$$ $$frac{water concentration final}{total} = frac{3}{10}(1- frac{8}{64})^1$$
$$frac{water concentration final}{total} = frac{3}{10}(1- frac{1}{8})^n$$ $$frac{water concentration final}{total} = frac{21}{80}$$
water : milk in new solution after replacement = 21: 59
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$$frac{water concentration final}{total} = frac{3}{10}(1- frac{1}{8})^n$$ $$frac{water concentration final}{total} = frac{21}{80}$$
water : milk in new solution after replacement = 21: 59