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Home » g'(x) = 1 - \frac2x^2. - Belip

g'(x) = 1 - \frac2x^2. - Belip

📅 May 7, 2026 👤 scraface

May 07, 2026

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📌 The ratio of boys to girls in a club is 5:7. If 4 boys leave and 2 girls join, the ratio becomes 1:2. How many students were in the club initially?

📌 Let boys = 5x, girls = 7x.

📌 After changes: (5x - 4) / (7x + 2) = 1 / 2.

📌 Cross-multiplying: 2(5x - 4) = 7x + 2 → 10x - 8 = 7x + 2 → 3x = 10 → x = 10/3.

📌 But x must be integer — recheck:

📌 2(5x - 4) = 7x + 2 → 10x - 8 = 7x + 2 → 3x = 10 → x = 10/3 — invalid.

📌 Wait — try solving again:

📌 2(5x - 4) = 7x + 2 → 10x - 8 = 7x + 2 → 3x = 10 → x = 10/3 → not integer.

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