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Three-part mixture: some drawn out, parts topped up, a difference given: initial quantity

The same question, asked 3 times: 14 Sep 2025 S2*, 14 Sep 2025 S3*, 15 Sep 2025 S3. Every wording below, oldest first.

Try each one first, then open its answer.

  1. Question 1

    14 Sep 2025 S2

    68
    A drum contains a blend of three chemicals: P, Q, and R, in the ratio of 3:5:23:5:2. 30 litres of this blend are removed, and then 12 litres of chemical P and 8 litres of chemical Q are poured into the drum. If the resultant quantity of chemical Q is 20 litres more than the resultant quantity of chemical P, what was the initial total quantity of the mixture in the drum (in litres)?

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  2. Question 2

    14 Sep 2025 S3

    63
    A tank has a mixture of solutions A, B, and C in the respective ratio of 7:8:57 : 8 : 5. 40 litres of this mixture is drained out, and subsequently, 15 litres of solution A and 5 litres of solution C are added to the tank. If the resultant quantity of solution A is 25 litres less than the resultant quantity of solution B, what was the initial quantity of mixture in the tank (in litres)?

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  3. Question 3

    15 Sep 2025 S3

    67
    A container holds a mixture of Orange, Apple, and Guava juices in the ratio of 5:7:4 respectively. 24 litres of this mixture is taken out, and then 10 litres of orange juice and 6 litres of guava juice are added to the vessel. If the resultant quantity of apple juice is 14 litres more than the resultant quantity of orange juice, what was the initial quantity of mixture in the vessel (in litres)?

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