A, B, and C average 45 kg. If A and B average 40 kg and B and C average 43 kg, what is B's weight___________?
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Answer: D. 31 kg
Explanation
Multiplying three people by their average weight gives the total combined sum of one hundred thirty five kilograms. Subtracting the combined weight of persons A and B leaves the weight of person C. Using the average weight of B and C allows isolating B weight as thirty one kilograms. Simultaneous linear equations allow solving multiple unknown variables from overlapping group statistics. Total weight sums remain constant regardless of how subgroups are partitioned for analysis. Stepwise substitution helps isolate target variables in multi-person weight distribution problems.
Athletic trainers monitor individual athlete weights within team training groups using periodic sample averages. Medical professionals evaluate patient cohort metrics by analyzing overlapping demographic subgroup measurements. Logical deduction puzzles involving group averages enhance critical thinking and problem-solving skills. Option A suggests seventeen kilograms which is too low to satisfy the given subgroup equations. Option B suggests twenty kilograms which fails to balance the combined weight totals. Option C suggests twenty six kilograms which produces inconsistencies when testing group sums.
- Subject
- Mathematics
- Category
- Mathematics
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- —
- Difficulty
- medium
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