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Home » #### Case 3: 1 red, 1 green, 2 blue - Deep Underground Poetry

#### Case 3: 1 red, 1 green, 2 blue - Deep Underground Poetry

📅 May 4, 2026 👤 scraface

May 04, 2026

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📌 This implies the model allows non-integer arithmetic, but \( x \) must be integer. Try interpreting:

📌 \frac{32 + x}{60} = \frac{66}{100} = \frac{33}{50}

📌 \Rightarrow 32 + x = 60 \times \frac{33}{50} = \frac{1980}{50} = 39.6

📌 But since number of users is integer, \( 32 + x \) must be integer, so 39.6 must be rounded — but 66% of 60 is known to be 39.6 only if non-integer, which is invalid. Recheck: 66% of 60 is \( \frac{2}{3} \times 60 = 40 \) only if exact — but 66% = 33/50, so:

📌 + x = \frac{33}{50} \times 60 = 39.6

📌 Contradiction. Instead, assume reported rate is approximate, but in math olympiad context, expect exact fraction:

📌 Try: \( \frac{32 + x}{60} = \frac{66}{100} = \frac{33}{50} \Rightarrow 32 + x = \frac{33}{50} \times 60 = 39.6 \)

📌 But 39.6 is not integer — so likely the 66% is exact, hence total successes = \( 0.66 \times 60 = 39.6 \) — impossible.

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