Question

Dividir 405 em partes inversamente proporcionais 3, 6 e 7

Answer 1

$> resolucao \\ \\ \geqslant grandezas \: \: inversamente \\ proporcional \\ \\ \frac{x}{3} + \frac{x}{6} + \frac{x}{7} = 405 > mmc = 42 \\ \\ 14x + 7x + 6x = 17010 \\ \\ 27x = 17010 \\ \\ x = \frac{17010}{27} \\ \\ x = 630 \\ \\ \\ \\ \frac{x}{3} > \frac{630}{3} = 210 \\ \\ \frac{x}{6} > \frac{630}{6} = 105 \\ \\ \frac{x}{7} > \frac{630}{7} = 90 \\ \\ \\ \geqslant \leqslant \geqslant \leqslant \geqslant \leqslant \geqslant \geqslant$