Hey there!
Monte will need 9 packages of hot dogs.
To do this, we can first find the LCM.
To do this, first you find the prime factors of 20: 2 x 2 x 5
Then, you find the prime factors of 18: 2 x 3 x 3
Multiply each number by the greatest number it occurs:
2 x 2 x 3 x 3 x 5
And you get the LCM, 180. This means that you can get 180 total hot dogs and 180 total buns.
Then, divide that by the number of hot dogs in a package, to get the number of packages needed: 180/20 = 9
9 packages of hot dogs are needed.