Answer:
x = 5
Step-by-step explanation:
Given that y is inversely proportional to x then the equation relating them is
y = [tex]\frac{k}{x}[/tex] ← k is the constant of proportion
To find k use the condition when y = 25 , x = 4 , then
25 = [tex]\frac{k}{4}[/tex] ( multiply both sides by 4 )
100 = k
y = [tex]\frac{100}{x}[/tex] ← equation of proportion
When y = 20, then
20 = [tex]\frac{100}{x}[/tex] ( multiply both sides by x )
20x = 100 ( divide both sides by 20 )
x = 5