SOLUTION: A shepherd had an unfortunate experience. He was looking after a number (n) of sheep when robbers overpowered him and stole 1/4 of his sheep. He managed to get 3 of the stolen shee

Question 1035317: A shepherd had an unfortunate experience. He was looking after a number (n) of sheep when robbers overpowered him and stole 1/4 of his sheep. He managed to get 3 of the stolen sheep back. The robbers came back and stole 1/3 of the remaining sheep of which he again managed to get 2 back. The third time the robbers overpowered him, they stole 1/2 of the remaining sheep of which he once again managed to get 2 back . He then exactly had n/2 sheep left. Determine the value of n, showing all explanations
Answer by robertb(5830) (Show Source): You can put this solution on YOUR website!
He initially had n sheep.
After 1/4 of his sheep was stolen, 3/4 of it remains. Getting back 3 means he has remaining.
The second time the robbers came, they stole 1/3 of , thus was left. Having gotten 2 sheep back, the number of remaining sheep is .
The third time the robbers came, they stole 1/2 of , thus was left. Having gotten 2 sheep back, the number of remaining sheep is .
The last quantity must be equal to n/2.
==>
==>
==>
==> ==> .

RELATED QUESTIONS
A shepherd had an unfortunate experience. He was looking after a number (n) of sheep... (answered by stanbon)

When a shepherd counts his sheep by 2's, 3's, 4's, 5's, or 6's; there is 1 left over.... (answered by Alan3354)

The hundred-handed monster Briareus was hungry and attacked a flock of 98 sheep. He... (answered by Solver92311)

The hundred-handed monster Briareus was hungry and attacked a flock of 98 sheep. He... (answered by ikleyn)

The hundred-handed monster Briareus was hungry and attacked a flock of 98 sheep. He... (answered by ikleyn,math_tutor2020)

There are two shepherds talking amongst themselves. One says to the other, "Give me one... (answered by ankor@dixie-net.com)

a farmer had a total of 700 goats and sheep. if he sold 3/4 of his goats and 400 sheep ,... (answered by ankor@dixie-net.com)

I need a little help with this word problem. I have tried to fiugre out how to write it... (answered by wuwei96815,Paul)

A cunning farmer, when asked how many sheep he had,said,"A third of my sheep are in the... (answered by psbhowmick)