Two individuals, A and B, lease a plot of land. A utilizes it for 21 horses over 3 months alongside 15 cows for 2 months; conversely, B pastures 15 cows for 6 months and 40 sheep for 7 1/2 months. If the consumption rate dictates that 3 horses equate to 5 cows, and 6 cows equate to 10 sheep, what fraction of the total rent ought A to contribute?
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Answer: A. 1/3 rd
Explanation
Converting all livestock types to a single common unit based on given equivalence rates standardizes values. Calculating the total weighted animal-month units for individual A and individual B determines their rent shares. Forming the fraction of A's units over the total combined livestock units yields one-third for A's rent. Partnership rent problems require converting diverse asset contributions into a common proportional unit. Livestock equivalence rates establish direct conversion multipliers between horses, cows, and sheep assets. Rent contributions are divided proportionally based on each partner's total weighted usage units over time.
Agricultural leasing managers calculate pasture rental fees based on animal grazing unit equivalents over seasons. Business partners divide shared operational expenses proportionally based on weighted resource usage metrics. Economists evaluate resource allocation costs by converting heterogeneous capital assets into common denominators. Option B suggests two-fifths which overestimates individual A's proportional rent contribution share. Option C suggests two-thirds which represents individual B's share rather than individual A's contribution. Option D suggests one-fifth which underestimates individual A's weighted livestock pasture usage share.
- Subject
- Mathematics
- Category
- Mathematics
- Topic
- —
- Difficulty
- medium
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