Question
In a 240 ml mixture containing milk and honey, honey
makes up 56.25% of the total mixture. After removing 'p' ml of this mixture, 8 ml of honey is added. As a result, the ratio of milk to honey in the new mixture becomes 5:7. Determine the value of 'p'.Solution
ATQ,
Let after removing 'm' ml of mixture, the quantity of the mixture be '16a' units. So, the quantity of the honey = 0.5625 × 16a = '9a' units Also, quantity of milk = 16a - 9a = '7a' units ATQ, {7a ÷ (9a + 8) } = (5/7) Or, 49a = 5 × (9a + 8) Or, 49a - 45a = 40 Or, 4a = 40 So, 'a' = 10 Quantity of mixture after removing 'p' ml of mixture = 16 × 10 = 160 ml Therefore, 'p' = 240 - 160 = 80
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