Question
Download Solution PDFTwo liquids A and B are mixed in a bucket in the ratio 7 : 5. If 9 liters of the mixture is replaced by 10 liters of liquid B, the ratio of both the liquids becomes 7 : 9. How many liters of liquid A was in the bucket?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
Ratio of A and B = 7 : 5
Calculation:
According to the question,
(7x - 9 × 7/12)/(5x - 9 × 5/12 + 10) = 7/9
⇒ (28x - 21)/(20x + 25) = 7/9
⇒ 252x - 189 = 140x + 175
⇒ 112x = 364
⇒ x = 3.25
⇒ 7x = 22.75
∴ 22.75 liters of liquid A was in the bucket
Last updated on Jun 2, 2025
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