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Shared pasture with animal equivalences: A's part of the rent

The same question, asked 3 times: 12 Sep 2025 S3*, 13 Sep 2025 S3*, 14 Sep 2025 S2. Every wording below, oldest first.

Try each one first, then open its answer.

  1. Question 1

    12 Sep 2025 S3

    56
    Two individuals, A and B, have rented a field. A places 21 horses in the field for 6 months and 15 cows for 2 months. B adds 15 cows for 6 months and 40 sheep for 7.5 months. If 3 horses consume the same amount of food as 5 cows, and 6 cows eat as much as 10 sheep, what portion of the rent should A cover?

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  2. Question 2

    12 Sep 2025 S3

    57
    Two individuals, A and B rent a pasture. A uses 16 cows for a duration of 3 months and 20 sheep for 4 months and B uses 30 sheep for 6 months. If 4 cows are equivalent to 8 sheep, determine A's portion of the rent.

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  3. Question 3

    13 Sep 2025 S3

    56
    A and B share a rented field. A utilizes 2020 horses for 55 months, while B uses 3030 cows for 44 months and 4545 sheep for 55 months. If 22 horses are equivalent to 55 cows, and 33 cows are equal to 99 sheep. What portion of the rent is A pay ?

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  4. Question 4

    14 Sep 2025 S2

    56
    Two individuals, A and B, rent a pasture together. A has 18 horses that they graze for 4 months. B grazes 24 cows for 6 months and 36 sheep for 4 months. The following relationships are given: - 3 horses are equivalent to 6 cows, - 4 cows are equivalent to 8 sheep. What amount of rent should A pay ?

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