Question 886761
the easiest way to solve this is as follows (my opinion only).


you are given that 12 buckets = 33 liters
let x = number of liters per bucket.
you get:
12 * x = 33
solve for x to get x = 33/12 liters per bucket.


this is the capacity of the original bucket.


multiply 33/12 by 2/3 to get 66/36.
that's the capacity of the smaller bucket.


let y = the number of smaller buckets.
you get:
y * 66/36 = 33
this is telling you that you need y buckets with a capacity of 66/36 liters per bucket to fill a tank that has a capacity of 33 liters.
divide both sides of this equation by (66/36) to get:
y = 33 / (66/36) which becomes y = 33 * 36 / 66 which becomes y = 18


you need 18 of the smaller capacity buckets to fill the tank with a capacity of 33 liters.