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Add one component to a mixture of known volume (the other component stays fixed)

This type of question, asked 10 times: 14 Jul 2023 S4, 25 Jul 2023 S4, 23 Sep 2024 S1, 26 Sep 2024 S2, 12 Sep 2025 S1, 14 Sep 2025 S1, 22 Sep 2025 S1, 22 Sep 2025 S3, 23 Sep 2025 S2, 24 Sep 2025 S3. All 11 questions below, oldest first.

Try each one first, then open its answer.

  1. Question 1

    14 Jul 2023 S4

    60
    In a mixture of 55 litres, fruit juice and water are in the ratio of 4:14 : 1. How much water (in litres) must be added to make the mixture ratio 2:12 : 1?

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  2. Question 2

    25 Jul 2023 S4

    68
    A 40-litre mixture contains 25%25\% alcohol and 75%75\% water. If 10 litres of water are added to the mixture, the percentage of alcohol in the new mixture is:

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  3. Question 3

    23 Sep 2024 S1

    70
    There is a 32 l mixture of milk and water. The ratio of milk and water in this mixture is 5 : 3. How many litres of water should be added to this mixture so that the resultant mixture has 50% water in it?

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  4. Question 4

    26 Sep 2024 S2

    74
    Half litre of a solution contains 15%15\% of alcohol. To change the alcohol concentration to 50%50\%, find the quantity of alcohol to be mixed.

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  5. Question 5

    12 Sep 2025 S1

    65
    A 40-liter mixture contains juice and water in the ratio 5:3. How much water (in liters) must be added to this mixture to change the ratio of juice to water to 2:3?

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  6. Question 6

    14 Sep 2025 S1

    64
    A 60-litres solution of alcohol and water has 20%20\% water. How many litres of alcohol must be added to the solution to make the water content 15%15\%?

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  7. Question 7

    22 Sep 2025 S1

    66
    A 45-litre mixture of kerosene and diesel contains kerosene and diesel in the ratio 4:5. How much diesel must be added to make the ratio 4:6?

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  8. Question 8

    22 Sep 2025 S3

    62
    A mixture contains 60%60\% milk. If 2020 liters of water is added to the 8080-liter mixture, what is the new percentage of milk?

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  9. Question 9

    23 Sep 2025 S2

    61
    A 50-liter solution contains acid and water in the ratio 3:2. How much water must be added to make the ratio 1:1?

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  10. Question 10

    23 Sep 2025 S2

    69
    A solution of 100 litres has a 60% salt concentration. How many litres of water must be added to reduce the concentration to 40%, and then how much pure salt must be added to bring the concentration back to 50%?

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  11. Question 11

    24 Sep 2025 S3

    70
    A 30-litre mixture of oil and kerosene contains oil and kerosene in the ratio 2:12:1. Some quantity of kerosene is added, changing the ratio to 1:21:2. What is the quantity of kerosene added?

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