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

RELATED QUESTIONS
Pedro and petra went to fetch a container of water from well. Pedro had a 3 gal container (answered by richwmiller)

if I have a container that holds 2 and 1/2 litres of water how many grams of sand I can... (answered by josgarithmetic)

An expandable container is filled with 40 in3 of air and is sitting in chilled water that (answered by Fombitz)

I have a container that is 3.5"H, 1.5" diameter. How many 3/4" x 1/2" pieces can fit... (answered by ikleyn)

I am trying to help my daughter with a school project we must design a container for an... (answered by KMST)

A company makes two similar cylindrical containers. The total surface area of the smaller (answered by mananth)

What is a container that I can bring in to school that measures metric... (answered by stanbon)

My favorite CD has 11 songs on it, and I have memorized the songs and the order in which... (answered by Alan3354)

I have a container that is 3.5"H, 1.5" diameter. How many 3/4" x 1/2" pieces can fit into (answered by rfer)