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Two-part ratio changes after adding or removing amounts: find the original quantities

This type of question, asked 8 times: 12 Sep 2024 S2, 17 Sep 2024 S1, 17 Sep 2024 S2, 19 Sep 2024 S3, 12 Sep 2025 S2, 14 Sep 2025 S3, 17 Sep 2025 S2, 24 Sep 2025 S1. All 8 questions below, oldest first.

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  1. Question 1

    12 Sep 2024 S2

    62
    The ratio between male and female members in a club is 2:32 : 3. If the number of male members is increased by 200, the ratio becomes 5:65 : 6. How many female members are there in the club?

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  2. Question 2

    17 Sep 2024 S1

    61
    In a collection of rare coins, there is one gold coin for every four non-gold coins. If 20 more gold coins are added to the collection, the ratio of the number of gold coins to that of non-gold coins will be 2:3. The total number of coins in the collection will now become ________.

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  3. Question 3

    17 Sep 2024 S2

    60
    In a company, the ratio of men and women is 5 : 3, respectively. When 150 additional women are employed in the company, the ratio becomes 5 : 4. How many men are employed in the company?

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  4. Question 4

    19 Sep 2024 S3

    53
    The ratio of boys to girls initial in a college is 5:65 : 6. If 40 boys leave the college and 50 girls join the college, the ratio will become 8:118 : 11. Find the number of girls (initial) in the college.

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  5. Question 5

    12 Sep 2025 S2

    61
    The ratio of boys to girls in a school is 7:5. If 20 more girls join the school, the new ratio of boys to girls becomes 7:6. What is the total number of students in the school initially?

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  6. Question 6

    14 Sep 2025 S3

    61
    A solution consists acid and water in the ratio 5:3. If 4 litres of water is added, the new ratio becomes 5:4. What is the original quantity of acid in the solution?

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  7. Question 7

    17 Sep 2025 S2

    60
    A barrel contains a mixture of alcohol and water in the ratio 7:4 respectively. If 12 litres of water are added to it, the ratio of alcohol to water becomes 7:6. Find the initial total quantity of the mixture in the barrel.

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  8. Question 8

    24 Sep 2025 S1

    59
    Two numbers are in the ratio 5:75:7. If 9 is added to each, the new ratio becomes 8:118:11. What are the original numbers?

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