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Home » Radio \( r = \frac62 = 3 \) cm. - DNSFLEX

Radio \( r = \frac62 = 3 \) cm. - DNSFLEX

📅 March 11, 2026 👤 scraface

Mar 11, 2026

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📌 #### (1, -1)

📌 A solution contains 30% alcohol. How much pure alcohol must be added to 200 mL of this solution to make a 50% alcohol solution?

📌 First, calculate the amount of alcohol in the initial solution:

📌 \[ 0.3 \times 200 = 60 \, \text{mL} \]

📌 Let \( x \) be the amount of pure alcohol added. The total volume becomes \( 200 + x \), and the total alcohol is \( 60 + x \).

📌 Set up the equation for 50% alcohol:

📌 \[ \frac{60 + x}{200 + x} = 0.5 \]

📌 \[ 60 + x = 0.5(200 + x) \]

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