Question
In a blend of 120 liters comprising honey and milk,
where honey constitutes 45%, if (a - 4) liters of honey and (a + 4) liters of milk are introduced, the resulting ratio of honey to milk is 7:9. Determine the value of 'a'.Solution
ATQ, Initial quantity of Honey in the mixture = 0.45 × 120 = 54 liters Initial quantity of water in the mixture = (120 - 54) = 66 liters {(54 + a - 4) /(66 + a + 4) } = (7/9) Or, 450 + 9a = 7a + 490 Or, 2a = 40 Or, 'a' = (40/2) = 20
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