# If x varies inversely as y and y=40 when x=4, how do you find x when y=20?

Mar 25, 2018

I didn't understand well the question but I think is about direct and inverse proportion.

#### Explanation:

X is inversly proportional to Y
$x = \frac{k}{y}$

$x = 4$
$y = 40$

$4 = \frac{k}{40}$

$k = 40 X 4 = 160$

$x = \frac{160}{y}$

$y = 20$

$x = \frac{160}{20} = 8$

$x = 8$
$y = 20$