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Home » Multiply numerator and denominator by conjugate \( 4 + i \): - Parker Core Knowledge

Multiply numerator and denominator by conjugate \( 4 + i \): - Parker Core Knowledge

📅 May 4, 2026 👤 scraface

May 04, 2026

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📌 But Ella worked 30% less than Armand → x = 0.7 × (x / 0.7) = correct.

📌 So Armand = (1/0.7)x ≈ 1.4286x.

📌 Total: x + (x / 0.7) + 1.4286x ≈ x + 1.4286x + 1.4286x = 3.8572x = 15.

📌 x = 15 / 3.8572 ≈ 3.88.

📌 Armand = (1 / 0.7) × 3.88 ≈ 1.4286 × 3.88 ≈ 5.54 → but better to solve algebraically.

📌 Let Armand = *a*, Ella = *e*, Amber = *m*.

📌 a = 2e → e = a/2.

📌 e = 0.7a → but e = a/2 → a/2 = 0.7a? Only if a=0. Contradiction.

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