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Home » New concentration: \(\frac150500 + x = 20\%\) - AMAZONAWS

New concentration: \(\frac150500 + x = 20\%\) - AMAZONAWS

📅 March 6, 2026 👤 scraface

Mar 06, 2026

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📌 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.

📌 Inflow: \( 0.1 \, \text{kg/L} \times 5 \, \text{L/min} = 0.5 \, \text{kg/min} \).

📌 Outflow: \( \frac{V(t)}{200} \times 0.1 \times 5 \, \text{L/min} = \frac{0.5V(t)}{200} \).

📌 Let \( S(t) \) be the salt in kg at time \( t \).

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