Posted by **Kimberly** on Sunday, October 15, 2006 at 9:58pm.

A man has a basket of eggs. He wants to cross a toll bridge but has no money. The first toll collector says he will let the man pass if he gives him half of his eggs and half an egg. When he gets to the next toll collector he still has no money. Again the toll collector says he will let the man pass for half of his eggs and half of egg. Third tollcollector agrees to the same deal. This leaves the man with no eggs. How many eggs did the man start out with?-

Suppse n is the number of eggs the man has to begin with. At the first toll he gives away

(1/2)n + 1/2 so he has

n - ((1/2)n + 1/2) = (1/2)n - 1/2 left

At the second toll he gives away

(1/2)((1/2)n - 1/2) +1/2 = (1/4)n + 1/4 so he has

((1/2)n - 1/2) - (1/4)n + 1/4 = (1/4)n -1/4 left

Finally he gives away

(1/2)((1/4)n -1/4) + 1/2 = (1/8)n +3/8

and has none left so

(1/4)n -1/4 = (1/8)n +3/8 so

(1/8)n = 5/8 and n = 5.

Now test this

If he starts with 5 eggs and gives away half and a half egg then

5 - 2.5 -.5 = 2 eggs

Next he gives away 1 egg and a half egg so he has

2 - 1 -.5 = .5

At the third stop all he has is half an egg so that's all he can give away.

Hopefully I read your problem correctly. Since I seem to have worked your problem completely find another one similar to it in your text and work that for practice.

Thank you very much!

place the fractions 1/2,19/20/4/5,7/8,3/4,1/12,1/3,3/10 from least to greatest

i do not get algebra math. One of the questions on the homework is twice a number called f. I don't get that!

i don't under stand dividing fractions and mixed numbers i don't even understand fractions at all !

help! help !help!

find the percent of increase from $24.00 to $29.00. round to the nearest hundreth.

## Answer This Question

## Related Questions

- math - The total toll charge for 1 car and 5 bicycles to cross a bridge is $7.50...
- algebra - The total toll charge for one car and five bicycles to cross a bridge ...
- Math - Three bells begin to toll together and toll respectively at intervals of ...
- Physics - Thinking Physic-ly: On some toll roads, the ticket is stamped with the...
- algebra - four men qant to cross a bridge. they all begein on the same side. its...
- math - Three bells toll at intervals of 8 minutes, 15 minutes and 24 minutes ...
- Physics - At some automobile toll-collecting stations, a thin metal wire sticks...
- Algebra - A new tollway is built. For the first month there is no toll to use ...
- Statistics - New York and Pennsylvania have progressive toll roads. Upon ...
- Math - A man goes into a store and says, " If you give me as much money as I ...

More Related Questions