Question
There is 275 litres of mixture of milk and water in a
jar. The ratio of quantity of milk to water in the jar is 8:3, 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 100 litres. Find the value of βxβSolution
Let the quantity of milk and water left in the jar be 8a litres and 3a litres, respectively According to the question, 8a β 3a = 100 => a = 20 Therefore, quantity of mixture left in the jar = 8a + 3a = 11a = 220 litres Therefore, quantity of mixture taken out = 275 β 220 = 55 litres => x = 55
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