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Home » Say Goodbye to Pay Pending—This Hidden Money Alert Just Dropped! - Decision Point

Say Goodbye to Pay Pending—This Hidden Money Alert Just Dropped! - Decision Point

📅 May 5, 2026 👤 scraface

May 05, 2026

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📌 The final volume of the solution after adding \( x \) grams of salt is \( 300 + x \) mL.

📌 The equation for the final concentration is \(\frac{6 + x}{300 + x} = 0.05\).

📌 Solving for \( x \): \( 6 + x = 0.05(300 + x) \) leads to \( 6 + x = 15 + 0.05x \).

📌 Rearranging gives \( x - 0.05x = 15 - 6 \), so \( 0.95x = 9 \).

📌 Solving for \( x \) gives \( x = \frac{9}{0.95} \approx 9.47 \) grams.

📌 A tank initially contains 200 liters of water with 10 kg of dissolved salt. Saltwater with a concentration of 0.1 kg/L is pumped in at 5 L/min, while the well-mixed solution drains at 5 L/min. How much salt will remain after 30 minutes?

📌 Initial conditions: 10 kg of salt in 200 L → concentration = \( \frac{10}{200} = 0.05 \) kg/L.

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