Question

divida 28000 em parte inversamente proporcionais a 2, 4 e 8

Answer 1

28000 *1/2 =14.000
28000 *1/4 = 7.000
28000 *1/8 = 3500.

Answer 2

Constante de proporcionalidade x:

$\dfrac{1}2}\,x+ \dfrac{1}{4}\,x+ \dfrac{1}{8}x =28000 \\ \\ \\ \dfrac{4}{8} \,x+ \dfrac{2}{8} \,x+ \dfrac{1}{8}\,x=28000 \\ \\ \\ \dfrac{7}{8}\,x=28000 \\ \\ \\ x= \dfrac{28000\cdot8}{7} \\ \\ \\ \boxed{x=32000}$

Partes:

$\dfrac{1}{2} x \rightarrow \boxed{ \frac{1}{2}\cdot 32000 =16000} \\ \\ \\ \dfrac{1}{4}\,x\rightarrow\boxed{ \dfrac{1}{4}\cdot32000=8000 } \\ \\ \\ \dfrac{1}{8} \,x\rightarrow\boxed{ \frac{1}{8}\cdot32000=4000 }$