Question
When a mixture of (Honey + water) contains Honey and
water in the ratio 5:3, respectively. Twenty-five percent of the mixture is removed and replaced with 24 litres of water, resulting in the quantity of water becoming equal to the quantity of Honey. Determine the initial quantity of the mixture.Solution
ATQ, Let the initial quantity of water and honey in the mixture be 5a litres and 3a litres, respectively Final quantity of water in the mixture = 0.75 × 5a = 3.75a litres Final quantity of honey in the mixture = (0.75 × 3a) + 24 = (2.25a + 24) According to the question, 2.25a + 24 = 3.75a Or, 1.5a = 24 Or, a = 16 Therefore, initial quantity of the mixture = 5a + 3a = 8a = 128 litre
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