Question

Resolva as seguintes proporções:
a) 10/x = 50/30
b) x/5 = 21/35
c) 32/24 =20/x
d) x/4 = 40/10

Answer 1

Explicação passo-a-passo:

a)

$\sf \dfrac{10}{x}=\dfrac{50}{30}$

$\sf 50x=10\cdot30$

$\sf 50x=300$

$\sf x=\dfrac{300}{50}$

$\sf \red{x=6}$

b)

$\sf \dfrac{x}{5}=\dfrac{21}{35}$

$\sf 35x=5\cdot21$

$\sf 35x=105$

$\sf x=\dfrac{105}{35}$

$\sf \red{x=3}$

c)

$\sf \dfrac{32}{24}=\dfrac{20}{x}$

$\sf 32x=24\cdot20$

$\sf 32x=480$

$\sf x=\dfrac{480}{32}$

$\sf \red{x=15}$

d)

$\sf \dfrac{x}{4}=\dfrac{40}{10}$

$\sf 10x=4\cdot40$

$\sf 10x=160$

$\sf x=\dfrac{160}{10}$

$\sf \red{x=16}$