Math
posted by Kelvin on .
This year my teacher read us the book The Phantom Tollbooth, and since then I've been having strange dreams about drving in usuaual places and paying tolls unusual characters.Last night I dreamed about highway in the clouds near the mythical Mt. Olympus. At my first tollbooth a mythical goddess asked for onehalf my gold pieces plus two more. At the next tollbooth,a Greek hero demanded onehalf my remaining gold pieces plus two more. Then at third booth,Zenus himself asked me for onehalf my remaining gold pieces plus two more.As I approaches another toolbooth I began to worry that I wouldn't have enough gold pieces for all the tollbooths. I wondered what they did to people without enough gold pieces. I looked im my purse and nocited I only had four pieces left. I was really beginning to worry, when my mom woke me up by calling me to breakfast. How many gold pieces did I start with in this dream?
Thanks very much!

You ended up with 4 gold pieces.
Zenus asked you for 1/2 your gold + 2. So you lost 1/2 of your gold and then 2 more.
First add 2 to 4, yielding 6. Now divide by 1/2, or multiply by 2, which yields 12.
Now, try to work out the other 2 "toll booths" in the same fashion to determine the gold at the start.