SOLUTION: A bucket has 56 liters of water in it when it is 4/5 full. How much can it hold?

Algebra ->  Percentage-and-ratio-word-problems -> SOLUTION: A bucket has 56 liters of water in it when it is 4/5 full. How much can it hold?      Log On


   



Question 834022: A bucket has 56 liters of water in it when it is 4/5 full. How much can it hold?
Found 2 solutions by stanbon, sofiyac:
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
A bucket has 56 liters of water in it when it is 4/5 full. How much can it hold?
-------
Let "x" be the amount the bucket can hold.
-----------
Equation:
(4/5)x = 56
----
Multiply both sides by 5/4 to get:
x = (5/4)56
----
x = 5*(56/4) = 5*14 = 70 liters
-------------------------
Cheers,
Stan H.
===============

Answer by sofiyac(983) About Me  (Show Source):
You can put this solution on YOUR website!
ratio problem, when the bucket is full it will hold 5 out 5 or 5/5 which is 1 (as in 1 whole bucket. So x liters when the bucket is full.
56---4/5
x----1
Multiply across and you get
4x%2F5=56%2A1 now solve for x
4x%2F5=56 multiply each side by 5/4 so that you get x by itself
x=56%2A%285%2F4%29
x=70 liters