SOLUTION: If I lost 50% of all my money and then regained 50% but am now $50 off my old total, what was my old total?

Question 698673: If I lost 50% of all my money and then regained 50% but am now $50 off my old total, what was my old total?
Answer by sofiyac(983) (Show Source): You can put this solution on YOUR website!
lets say you had x dollars, if you lost 50% then you lost half, so x/2. Then you gained back 50% of what you lost so x/4. Looks like you ended up with 50 less than the total so you ended up with x-50. So the equation becomes
x-x/2+x/4=x-50 simplify and solve for x
-0.25x=-50 divide each side by -0.25
x=200
RELATED QUESTIONS
When I was 4 - my brother was half my age, now I am 50, how old is... (answered by Maths68)

When I was 4 - my brother was half my age, now I am 50, how old is... (answered by Maths68)

when I was 2 my brother is half of my age now that i am 50 how old is my... (answered by vheroli)

Two years ago my age was a multiple of 6. Last year it was a multiple of 5. I am less... (answered by Edwin McCravy)

My sister was half my age when I was 10, now I'm 50 how old is my... (answered by math_helper)

if you square my age, then subtract 23 times my age the reult is 50. how old am... (answered by solver91311)

what is the age of my daughter? My daughter is twice as old as my son. My wife is three... (answered by mananth)

what is the age of my daughter? My daughter is twice as old as my son. My wife is three... (answered by Adrish)

Ok so here is my word problem: A university bookstore recently sold a wirebound... (answered by Alan3354)