Question

Va rog dau coroană!!!
am pus limba română din greșeala imi cer scuze

Answer 1

Explicație:

6.

$\frac{a}{9} = \frac{b}{11} = \frac{c}{14} = \frac{a + b + c}{9 + 11 + 14} = \frac{680}{34} = 20$

$\frac{a}{9} = 20 \\ a = 20 \times 9 \\ a = 180$

$\frac{b}{11} = 20 \\ b = 20 \times 11 \\ b = 220$

$\frac{c}{14} = 20 \\ c = 20 \times 14 \\ c = 280$

Verificare:

180+220+280=680✔️

7.

$\frac{a}{3} = \frac{b}{11} = \frac{c}{5}$

Dupa amplificam prima fractie cu 3,si pe ultima cu 2 si vine asa

$\frac{3a}{9} = \frac{b}{11} = \frac{2c}{10} = \frac{3a + b +2c }{9 + 11 + 10} = \frac{300}{30} = 10$

$\frac{3a}{9} = 10 \\ 3a = 10 \times 9 \\ 3a = 90 \\ a = 30$

$\frac{b}{11} = 10 \\ b = 10 \times 11 \\ b = 110$

$\frac{2c}{10} = 10 \\ 2c = 10 \times 10 \\ 2c = 100 \\ c = 100 \div 2 \\ c = 50$

Verificare:

3*30+110+2*50=90+110+100=300✔️