Question
A juice manufacturer has a 900-litre mixture of orange
juice and water in an 8:7 ratio. If 15% of this mixture is removed and replaced with an equal amount of water, what is the new ratio of orange juice to water in the final mixture?Solution
ATQ,
Given: Total mixture = 900 L Orange juice : Water = 8:7 15% removed and replaced with water Initial quantities Orange juice = (8/15) × 900 = 480 L Water = (7/15) × 900 = 420 L 15% removed = 0.15 × 900 = 135 L Orange juice removed = (8/15) × 135 = 72 L Water removed = (7/15) × 135 = 63 L After replacing with 135 L water Orange juice = 480 - 72 = 408 L Water = 420 - 63 + 135 = 492 L New ratio = 408 : 492 = 34 : 41
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