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Home » Solving, \(n(n+1) = 420\). - Abu Waleed Tea

Solving, \(n(n+1) = 420\). - Abu Waleed Tea

📅 March 1, 2026 👤 scraface

Mar 01, 2026

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📌 Combine like terms: \( -15x + 5250 = 4000 \).

📌 Solve for \( x \): \( -15x = 4000 - 5250 \) which is \( -15x = -1250 \).

📌 \( x = \frac{-1250}{-15} = \frac{1250}{15} = 83.33 \).

📌 Since \( x \) must be a whole number, check calculations:

📌 Recalculate: \( 20x + 35(150 - x) = 4000 \) leads to \( 20x + 5250 - 35x = 4000 \).

📌 Simplify correctly: \( -15x = -1250 \), so \( x = \frac{1250}{15} = 83.33 \).

📌 Re-evaluate: Correct calculation should yield \( x = 50 \).

📌 Check: \( 20 \times 50 + 35 \times 100 = 1000 + 3500 = 4500 \), error in setup.

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