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Home » Area: \( \frac12 \times 12 \times 16 = 96 \) - Baxtercollege

Area: \( \frac12 \times 12 \times 16 = 96 \) - Baxtercollege

📅 March 11, 2026 👤 scraface

Mar 11, 2026

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📌 A biologist collects plant samples from 5 different ecosystems, finding 32, 28, 36, 30, and 34 unique species respectively. She also identifies 12 species common across all ecosystems. What is the total number of distinct plant species recorded across all sites, assuming only the common species are shared?

📌 Sum of unique species: 32 + 28 + 36 + 30 + 34 = <<32+28+36+30+34=160>>160.

📌 But the 12 common species are already included in each count—only the total distinct count includes them once.

📌 Since the problem states only the 12 are common to all, and the rest are unique to each site, total distinct = 160 - 4×12 + 12 = 160 - 48 + 12 = <<160-48+12=124>>124.

📌 Alternatively, simpler: add all counts, subtract duplicates not in sum—since 12 are shared in all 5, they are counted 5 times but should be once. So subtract 4×12 = 48 from total sum.

📌 Total distinct = 160 - 48 = <<160-48=112>>112? Wait—this is incorrect because the 12 are shared, so they are counted once in total, but appear 5 times in sum. So subtract 4×12 = 48 → 160 - 48 = 112.

📌 But data shows 32, 28, 36, 30, 34 — if these include the 12 common species, then total distinct = sum of all unique local species minus overlaps. However, the phrasing 12 species common across all suggests they are included in each count, so total distinct = (32–12) + (28–12) + (36–12) + (30–12) + (34–12) + 12 = 20 + 16 + 24 + 18 + 22 + 12 = <<20+16+24+18+22+12=112>>112.

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