Posted by **Linda** on Monday, October 24, 2011 at 11:47pm.

Little Billy was out trick or treating on Halloween. He had gotten a lot of candy and was peering into his bag, when out from behind a tree came Freddy Krueger. Freddy reached into Billy's bag and took half of his candy plus one piece. Within a few steps, Billy encountered a Great White Shark, who reached into Billy's sack and took half of his remaining candy plus two pieces. Before Billy could turn and run, a Ninja Turtle, stole half of the candy that was left plus three pieces. Now Little Billy began to cry because he only had 5 pieces of candy left. How many pieces of candy did Billy have before Freddy, the Shark, and the Ninja Turtle raided his sack?

- Math -
**Steve**, Tuesday, October 25, 2011 at 5:05am
Let Billy have n pieces of candy. Tallying up all the thefts, we get

After Freddy, Billy has n - (n/2 + 1) = n/2 - 1

After Shark, Billy has n/2 - 1 - (n/2 - 1)/2 - 2 = n/4 - 5/2

After Turtle, Billy has n/4 - 5/2 - (n/4 - 5/2)/2 - 3 = n/8 - 17/4

n/8 - 17/4 = 5

n - 34 = 40

n = 74

Billy had 74 pieces

So, Freddy took 37+1 leaving 36

Shark took 18+2 leaving 16

Turtle took 8+3 leaving 5

working from the other end,

n = 2(2(2(5+3)+2)+1) = 74

## Answer This Question

## Related Questions

- Trick or Treat - Little Billy was out trick or treating on Halloween. He had ...
- math - Billy has a bag of candy that contains 13 red pieces, 9 green pieces, 3 ...
- Math - Fast Freddy was driving his new red Porche down the road at 65 miles per ...
- Math - Callie has 5 yellow pencils 5 red pencils 1 white pencil and 4 pink ...
- physics - In these figures, we see a boy named Billy riding a carnival ride ...
- Psychology Please Help!!!! - Billy Sue hated dresses, but loved dogs, horses, ...
- Language arts - Danielle reached into her bag. She was looking for her wallet. ...
- LA - Danielle reached into her bag. She was looking for her wallet. Which ...
- math - peter bought a bag of candy. He gave away ten percent of the candy too ...
- Is it possible if you guys can check my algebra HW - two bags had 100 kilograms ...

More Related Questions