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Home » Sea \( x \) el número de widgets. La ganancia se calcula como: - Baxtercollege

Sea \( x \) el número de widgets. La ganancia se calcula como: - Baxtercollege

📅 March 11, 2026 👤 scraface

Mar 11, 2026

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Rewriting:
x = 9k - 1 \quad \text{for some } k
Substitute into the second congruence:
9k - 1 \equiv 1 \pmod{7} \Rightarrow 9k \equiv 2 \pmod{7}
Since $ 9 \equiv 2 \pmod{7} $, this becomes:
2k \equiv 2 \pmod{7} \Rightarrow k \equiv 1 \pmod{7}
So $ k = 7m + 1 $, and:
x = 9(7m + 1) - 1 = 63m + 8
We want $ x $ to be a two-digit number:
\leq 63m + 8 \leq 99 \Rightarrow 2 \leq 63m \leq 91 \Rightarrow m = 1...

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