Question
There is 180 litres of mixture of milk and water in a
jar. The ratio of quantity of milk to water in the jar is 5:2, respectively. If βxβ litres of mixture is taken out from the jar then the difference between quantity of milk and water left in the jar is 57 litres. Find the value of βxβSolution
Let the quantity of milk and water left in the jar be 5a litres and 2a litres, respectively According to the question, 5a β 2a = 57 => a = 19 Therefore, quantity of mixture left in the jar = 5a + 2a = 7a = 133 litres Therefore, quantity of mixture taken out = 180 β 133 = 47 litres => x = 47
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