SOLUTION: 12 buckets are needed to fill a tank of capacity 33L. If the capacity of the bucket reduces to 2/3 of it, how many buckets of water are needed to fill the tank?

Click here to see ALL problems on Percentage-and-ratio-word-problems

Question 886761: 12 buckets are needed to fill a tank of capacity 33L. If the capacity of the bucket reduces to 2/3 of it, how many buckets of water are needed to fill the tank?
Found 2 solutions by Theo, Tanzina ahamed:
Answer by Theo(13342) (Show Source):
You can put this solution on YOUR website!
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.

Answer by Tanzina ahamed(5) (Show Source):
You can put this solution on YOUR website!
I think it can be done more easier way as follows:
Let, the capacity of bucket is x L and
the capacity of tank is y L.
Then, y/x=12.....(1)
now the capacity of smaller bucket should be 2x/3.
Therefore, the number of buckets needed are y/(2x/3)=3y/2x
from eqn (1).......we get 3*12/2=18 buckets