1. Jar A has 36 litres of mixture of milk and water in the respective ratio of 5 : 4. Jar B which had 20 litres of mixture of milk and water, was emptied into jar A, and as a result in jar A, the respective ratio of milk and water becomes 5: 3. What was the quantity of water in jar B?
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By: anil on 05 May 2019 01.14 am
Jar A has 36 litres of mixture of milk and water in the respective ratio of 5 : 4 => Quantity of milk in Jar A = $$frac{5}{9} imes 36 = 20$$ litres Quantity of water in Jar A = $$36 - 20 = 16$$ itres Let quantity of water in Jar B = $$x$$ litres => Quantity of milk in Jar B = $$(20 - x)$$ litres Acc. to ques, => $$frac{20 + (20 - x)}{16 + x} = frac{5}{3}$$ => $$120 - 3x = 80 + 5x$$ => $$5x + 3x = 120 - 80$$ => $$8x = 40$$ => $$x = frac{40}{8} = 5$$ litres
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