Question

Dividindo 340 em partes inversamente proporcionais a 2,3,5 e 10 a menor parte obtida é?

Answer 1

$> resolucao \\ \\ \geqslant grandezas \: inversamente \: proporcional \\ \\ \\ > \frac{x}{2} + \frac{x}{3} + \frac{x}{5} + \frac{x}{10} = 340 > mmc = 30 \\ \\ > 15x + 10x + 6x + 3x = 10200 \\ \\ > 34x = 10200 \\ \\ > x = \frac{10200}{34} \\ \\ > x = 300 \\ \\ \\ \\ > \frac{x}{2} > \frac{300}{2} = 150 \\ \\ > \frac{x}{3} > \frac{300}{3} = 100 \\ \\ > \frac{x}{5} > \frac{300}{5} = 60 \\ \\ > \frac{x}{10} > \frac{300}{10} = 30 \\ \\ \\ resposta \: > \: 30 \\ \\ \\ > < > < > < > < > < > < >$