Answer:
n = 10
Step-by-step explanation:
given m varies directly as n then the equation relating them is
m = kn ← k is the constant of variation
to find k use the condition m = 6 when n = 5
6 = 5k ( divide both sides by 5 )
k = [tex]\frac{6}{5}[/tex] = 1.2
m = 1.2n ← equation of variation
when m = 12 , then
12 = 1.2n ( divide both sides by 1.2 )
10 = n