Alright, lets get started.
Method 1:
Suppose Luann gets total monthly minutes = x
She spent
of her monthly minutes means
she has spent =

As per given in question, she has used 180 minues, so

Cross multiplying


Dividing 3 in both sides
x = 420
Means she had monthly 420 minutes : Answer
Method 2 :
of her total monthly minutes will be = 180
So, 1 or say complete month total minutes will be =

So, 1 month total minutes will be =

So, the answer is 420 minutes : Answer
Hope it will help :)