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Home » 12 Ounces Unlocked: The Exact Number of Cups You Didn’t Know! - High Altitude Science

12 Ounces Unlocked: The Exact Number of Cups You Didn’t Know! - High Altitude Science

📅 March 11, 2026 👤 scraface

Mar 11, 2026

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📌 Let \( N = 20b + 7 \). Then:

📌 20b + 7 \equiv 4 \pmod{7} \Rightarrow 20b \equiv -3 \equiv 4 \pmod{7}

📌 Since \( 20 \equiv 6 \equiv -1 \pmod{7} \), we have:

📌 b \equiv 4 \pmod{7} \Rightarrow b \equiv -4 \equiv 3 \pmod{7}

📌 So \( b = 7c + 3 \), then:

📌 N = 20(7c + 3) + 7 = 140c + 60 + 7 = 140c + 67

📌 Smallest positive \( N \) when \( c = 0 \): \( N = 67 \)

📌 Check all conditions:

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