SOLUTION: I have an expandable container that can currently store 2000 units total. Until recently, that container had always had 1600 units in it, which left 20% free space. Recently, 390
Question 832802: I have an expandable container that can currently store 2000 units total. Until recently, that container had always had 1600 units in it, which left 20% free space. Recently, 390 units were added, and so it currently has 1990 units in it. I want to expand that container such that it will once again have 20% free space in it. How big does the container need to be?
I had tried to represent this as (1+.2)*1990 (or multiplied the existing storage by 120%). But this gives 2388, and that is only 16.7% free space. What am I doing wrong, and what is a formula I can use to solve this? Answer by josmiceli(19441) (Show Source):
You can put this solution on YOUR website! This is hard for me to get my head around, also
I picture it a a ballon that looks like it has a
volume of units but it has 1600 units
of a solid material inside it. units of the solid material were put inside
without increasing the size of the ballon.
So, there is now units of
free space inside
I want to blow up the ballon by units so
that ( free space ) / ( total space ) = .2
This also means that ( solid material ) / ( total space ) = .8
I can say ( I think )
The container needs to be units
check answer:
( free space ) / ( total space ) =
Unless my logic got twisted somehow
