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Soit la largeur w, donc la longueur est 2w. - go-checkin.com

📅 March 1, 2026 👤 scraface

Mar 01, 2026

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📌 A mixture contains alcohol and water in the ratio 3:2. If 10 liters of water are added, the ratio becomes 3:4. What was the initial volume of the mixture?

📌 Let the initial volumes of alcohol and water be \( 3x \) and \( 2x \) liters, respectively.

📌 Total initial volume is \( 5x \) liters.

📌 After adding 10 liters of water, the water volume is \( 2x + 10 \).

📌 The new ratio is \( rac{3x}{2x + 10} = rac{3}{4} \).

📌 Cross-multiply:

📌 \( 4 \cdot 3x = 3 \cdot (2x + 10) \)

📌 \( 12x = 6x + 30 \)

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