Question
In jar 1, 280 litres of milk was mixed with 50 litres of
water. Some of the mixture was taken out from Jar 1 and put into Jar 2. When 36 litres of milk was added to Jar 2, the resultant ratio of milk to water in Jar 2 was 11:1. What was the amount of mixture taken out from Jar 1?Solution
Ratio of milk to water in Jar 1 = 280:50 The quantity of mixture taken out from Jar 1 = x litres Then, the quantity of milk = 28/33 x Quantity of water = 5/33 x Now, in Jar 2 (28/33 x+36)/(5/33 x ) = 11/1 28/33 x + 36 = 5/33 x × 11 55/33 x - 28/33 x = 36 27/33 x = 36 x = (36 ×33)/27 x = 44 litres
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