How many apples should you carry? [duplicate]
Clash Royale CLAN TAG#URR8PPP
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Paying the Troll toll
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You are on your way to your friend's house. You decide to carry 2 apples to your friend. To get to their house, you must pass across 8 gates. At each gate, the keeper will take half the amount of apples you have and return one apple back. The question is, how many apples should you carry at the beginning?
mathematics
edited Sep 10 at 16:52
Glorfindel
11.1k34270
asked Sep 10 at 15:33
Wais Kamal
229111
marked as duplicate by Alconja, boboquack, Quintec, JonMark Perry, El-Guest Sep 11 at 1:58
This question has been asked before and already has an answer. If those answers do not fully address your question, please ask a new question.
add a comment |Â
up vote
5
down vote
favorite
This question already has an answer here:
Paying the Troll toll
9 answers
You are on your way to your friend's house. You decide to carry 2 apples to your friend. To get to their house, you must pass across 8 gates. At each gate, the keeper will take half the amount of apples you have and return one apple back. The question is, how many apples should you carry at the beginning?
mathematics
edited Sep 10 at 16:52
Glorfindel
11.1k34270
asked Sep 10 at 15:33
Wais Kamal
229111
marked as duplicate by Alconja, boboquack, Quintec, JonMark Perry, El-Guest Sep 11 at 1:58
This question has been asked before and already has an answer. If those answers do not fully address your question, please ask a new question.
2
if there was a lateral thinking tag: start with zero apples, walk through the gate, throw your apple over the next gate, then you will have two apples!
– Yout Ried
Sep 10 at 19:48
And that's why I didn't include it, cuz I know some people have an infinitely broad imagination!
– Wais Kamal
Sep 10 at 19:53
add a comment |Â
up vote
5
down vote
favorite
up vote
5
down vote
favorite
This question already has an answer here:
Paying the Troll toll
9 answers
You are on your way to your friend's house. You decide to carry 2 apples to your friend. To get to their house, you must pass across 8 gates. At each gate, the keeper will take half the amount of apples you have and return one apple back. The question is, how many apples should you carry at the beginning?
mathematics
edited Sep 10 at 16:52
Glorfindel
11.1k34270
asked Sep 10 at 15:33
Wais Kamal
229111
This question already has an answer here:
Paying the Troll toll
9 answers
You are on your way to your friend's house. You decide to carry 2 apples to your friend. To get to their house, you must pass across 8 gates. At each gate, the keeper will take half the amount of apples you have and return one apple back. The question is, how many apples should you carry at the beginning?
This question already has an answer here:
Paying the Troll toll
9 answers
mathematics
mathematics
edited Sep 10 at 16:52
Glorfindel
11.1k34270
asked Sep 10 at 15:33
Wais Kamal
229111
edited Sep 10 at 16:52
Glorfindel
11.1k34270
asked Sep 10 at 15:33
Wais Kamal
229111
edited Sep 10 at 16:52
Glorfindel
11.1k34270
edited Sep 10 at 16:52
Glorfindel
11.1k34270
edited Sep 10 at 16:52
Glorfindel
11.1k34270
11.1k34270
asked Sep 10 at 15:33
Wais Kamal
229111
asked Sep 10 at 15:33
Wais Kamal
229111
asked Sep 10 at 15:33
Wais Kamal
229111
229111
marked as duplicate by Alconja, boboquack, Quintec, JonMark Perry, El-Guest Sep 11 at 1:58
This question has been asked before and already has an answer. If those answers do not fully address your question, please ask a new question.
marked as duplicate by Alconja, boboquack, Quintec, JonMark Perry, El-Guest Sep 11 at 1:58
This question has been asked before and already has an answer. If those answers do not fully address your question, please ask a new question.
2
if there was a lateral thinking tag: start with zero apples, walk through the gate, throw your apple over the next gate, then you will have two apples!
– Yout Ried
Sep 10 at 19:48
And that's why I didn't include it, cuz I know some people have an infinitely broad imagination!
– Wais Kamal
Sep 10 at 19:53
add a comment |Â
2
if there was a lateral thinking tag: start with zero apples, walk through the gate, throw your apple over the next gate, then you will have two apples!
– Yout Ried
Sep 10 at 19:48
And that's why I didn't include it, cuz I know some people have an infinitely broad imagination!
– Wais Kamal
Sep 10 at 19:53
2
2
if there was a lateral thinking tag: start with zero apples, walk through the gate, throw your apple over the next gate, then you will have two apples!
– Yout Ried
Sep 10 at 19:48
if there was a lateral thinking tag: start with zero apples, walk through the gate, throw your apple over the next gate, then you will have two apples!
– Yout Ried
Sep 10 at 19:48
And that's why I didn't include it, cuz I know some people have an infinitely broad imagination!
– Wais Kamal
Sep 10 at 19:53
And that's why I didn't include it, cuz I know some people have an infinitely broad imagination!
– Wais Kamal
Sep 10 at 19:53
add a comment |Â
3 Answers
3
active
oldest
votes
up vote
14
down vote
accepted
You need
2 apples.
This is because
Each gatekeeper will take one apple (half of two) and return one to you, meaning you keep the same number of apples through each gate.
answered Sep 10 at 15:47
El-Guest
13k2763
1
Haha.. Just missed it! :)
– Vivek Parekh
Sep 10 at 15:49
add a comment |Â
up vote
6
down vote
I am not sure if it's this easy. But here's a try.
You need to carry only 2 Apples. At each gate, the keeper will take half the amount i.e. 1 apple and will return it. At the end, you are still left with 2 apples.
answered Sep 10 at 15:47
Vivek Parekh
65539
Close one! I think I barely beat you in, but great answer nonetheless! :D
– El-Guest
Sep 10 at 15:49
That's correct, but @El-Guest answered first :)
– Wais Kamal
Sep 10 at 15:49
@El-Guest I guess yours is.
– Vivek Parekh
Sep 10 at 15:49
Thanks @WaisKamal! Was definitely really close!
– El-Guest
Sep 10 at 15:50
Yeah, very close :)
– Wais Kamal
Sep 10 at 15:51
add a comment |Â
up vote
6
down vote
Well,
Let’s work backwards: (2 apples - 1) * 2 = 2. Therefore, you only need to bring 2 apples.
Also,
You could only bring one apple, and walk through the gates and back. Then you should have around 1.8 apples. Then leave the .8 and repeat for infinite apples! :P
answered Sep 10 at 15:41
Rohit Jose
1,405125
Ah, I see now. I will change my answer
– Rohit Jose
Sep 10 at 15:46
Nice one (never thought of this tbh)!
– Wais Kamal
Sep 10 at 15:53
@Wais Kamal And neither did the gatekeepers, apparently!
– Rohit Jose
Sep 10 at 15:54
add a comment |Â
3 Answers
3
active
oldest
votes
3 Answers
3
active
oldest
votes
active
oldest
votes
active
oldest
votes
up vote
14
down vote
accepted
You need
2 apples.
This is because
Each gatekeeper will take one apple (half of two) and return one to you, meaning you keep the same number of apples through each gate.
answered Sep 10 at 15:47
El-Guest
13k2763
1
Haha.. Just missed it! :)
– Vivek Parekh
Sep 10 at 15:49
add a comment |Â
up vote
14
down vote
accepted
You need
2 apples.
This is because
Each gatekeeper will take one apple (half of two) and return one to you, meaning you keep the same number of apples through each gate.
answered Sep 10 at 15:47
El-Guest
13k2763
1
Haha.. Just missed it! :)
– Vivek Parekh
Sep 10 at 15:49
add a comment |Â
up vote
14
down vote
accepted
up vote
14
down vote
accepted
You need
2 apples.
This is because
Each gatekeeper will take one apple (half of two) and return one to you, meaning you keep the same number of apples through each gate.
answered Sep 10 at 15:47
El-Guest
13k2763
You need
2 apples.
This is because
Each gatekeeper will take one apple (half of two) and return one to you, meaning you keep the same number of apples through each gate.
answered Sep 10 at 15:47
El-Guest
13k2763
answered Sep 10 at 15:47
El-Guest
13k2763
answered Sep 10 at 15:47
El-Guest
13k2763
answered Sep 10 at 15:47
El-Guest
13k2763
13k2763
1
Haha.. Just missed it! :)
– Vivek Parekh
Sep 10 at 15:49
add a comment |Â
1
Haha.. Just missed it! :)
– Vivek Parekh
Sep 10 at 15:49
1
1
Haha.. Just missed it! :)
– Vivek Parekh
Sep 10 at 15:49
Haha.. Just missed it! :)
– Vivek Parekh
Sep 10 at 15:49
add a comment |Â
up vote
6
down vote
I am not sure if it's this easy. But here's a try.
You need to carry only 2 Apples. At each gate, the keeper will take half the amount i.e. 1 apple and will return it. At the end, you are still left with 2 apples.
answered Sep 10 at 15:47
Vivek Parekh
65539
Close one! I think I barely beat you in, but great answer nonetheless! :D
– El-Guest
Sep 10 at 15:49
That's correct, but @El-Guest answered first :)
– Wais Kamal
Sep 10 at 15:49
@El-Guest I guess yours is.
– Vivek Parekh
Sep 10 at 15:49
Thanks @WaisKamal! Was definitely really close!
– El-Guest
Sep 10 at 15:50
Yeah, very close :)
– Wais Kamal
Sep 10 at 15:51
add a comment |Â
up vote
6
down vote
I am not sure if it's this easy. But here's a try.
You need to carry only 2 Apples. At each gate, the keeper will take half the amount i.e. 1 apple and will return it. At the end, you are still left with 2 apples.
answered Sep 10 at 15:47
Vivek Parekh
65539
Close one! I think I barely beat you in, but great answer nonetheless! :D
– El-Guest
Sep 10 at 15:49
That's correct, but @El-Guest answered first :)
– Wais Kamal
Sep 10 at 15:49
@El-Guest I guess yours is.
– Vivek Parekh
Sep 10 at 15:49
Thanks @WaisKamal! Was definitely really close!
– El-Guest
Sep 10 at 15:50
Yeah, very close :)
– Wais Kamal
Sep 10 at 15:51
add a comment |Â
up vote
6
down vote
up vote
6
down vote
I am not sure if it's this easy. But here's a try.
You need to carry only 2 Apples. At each gate, the keeper will take half the amount i.e. 1 apple and will return it. At the end, you are still left with 2 apples.
answered Sep 10 at 15:47
Vivek Parekh
65539
I am not sure if it's this easy. But here's a try.
You need to carry only 2 Apples. At each gate, the keeper will take half the amount i.e. 1 apple and will return it. At the end, you are still left with 2 apples.
answered Sep 10 at 15:47
Vivek Parekh
65539
answered Sep 10 at 15:47
Vivek Parekh
65539
answered Sep 10 at 15:47
Vivek Parekh
65539
answered Sep 10 at 15:47
Vivek Parekh
65539
65539
Close one! I think I barely beat you in, but great answer nonetheless! :D
– El-Guest
Sep 10 at 15:49
That's correct, but @El-Guest answered first :)
– Wais Kamal
Sep 10 at 15:49
@El-Guest I guess yours is.
– Vivek Parekh
Sep 10 at 15:49
Thanks @WaisKamal! Was definitely really close!
– El-Guest
Sep 10 at 15:50
Yeah, very close :)
– Wais Kamal
Sep 10 at 15:51
add a comment |Â
Close one! I think I barely beat you in, but great answer nonetheless! :D
– El-Guest
Sep 10 at 15:49
That's correct, but @El-Guest answered first :)
– Wais Kamal
Sep 10 at 15:49
@El-Guest I guess yours is.
– Vivek Parekh
Sep 10 at 15:49
Thanks @WaisKamal! Was definitely really close!
– El-Guest
Sep 10 at 15:50
Yeah, very close :)
– Wais Kamal
Sep 10 at 15:51
Close one! I think I barely beat you in, but great answer nonetheless! :D
– El-Guest
Sep 10 at 15:49
Close one! I think I barely beat you in, but great answer nonetheless! :D
– El-Guest
Sep 10 at 15:49
That's correct, but @El-Guest answered first :)
– Wais Kamal
Sep 10 at 15:49
That's correct, but @El-Guest answered first :)
– Wais Kamal
Sep 10 at 15:49
@El-Guest I guess yours is.
– Vivek Parekh
Sep 10 at 15:49
@El-Guest I guess yours is.
– Vivek Parekh
Sep 10 at 15:49
Thanks @WaisKamal! Was definitely really close!
– El-Guest
Sep 10 at 15:50
Thanks @WaisKamal! Was definitely really close!
– El-Guest
Sep 10 at 15:50
Yeah, very close :)
– Wais Kamal
Sep 10 at 15:51
Yeah, very close :)
– Wais Kamal
Sep 10 at 15:51
add a comment |Â
up vote
6
down vote
Well,
Let’s work backwards: (2 apples - 1) * 2 = 2. Therefore, you only need to bring 2 apples.
Also,
You could only bring one apple, and walk through the gates and back. Then you should have around 1.8 apples. Then leave the .8 and repeat for infinite apples! :P
answered Sep 10 at 15:41
Rohit Jose
1,405125
Ah, I see now. I will change my answer
– Rohit Jose
Sep 10 at 15:46
Nice one (never thought of this tbh)!
– Wais Kamal
Sep 10 at 15:53
@Wais Kamal And neither did the gatekeepers, apparently!
– Rohit Jose
Sep 10 at 15:54
add a comment |Â
up vote
6
down vote
Well,
Let’s work backwards: (2 apples - 1) * 2 = 2. Therefore, you only need to bring 2 apples.
Also,
You could only bring one apple, and walk through the gates and back. Then you should have around 1.8 apples. Then leave the .8 and repeat for infinite apples! :P
answered Sep 10 at 15:41
Rohit Jose
1,405125
Ah, I see now. I will change my answer
– Rohit Jose
Sep 10 at 15:46
Nice one (never thought of this tbh)!
– Wais Kamal
Sep 10 at 15:53
@Wais Kamal And neither did the gatekeepers, apparently!
– Rohit Jose
Sep 10 at 15:54
add a comment |Â
up vote
6
down vote
up vote
6
down vote
Well,
Let’s work backwards: (2 apples - 1) * 2 = 2. Therefore, you only need to bring 2 apples.
Also,
You could only bring one apple, and walk through the gates and back. Then you should have around 1.8 apples. Then leave the .8 and repeat for infinite apples! :P
answered Sep 10 at 15:41
Rohit Jose
1,405125
Well,
Let’s work backwards: (2 apples - 1) * 2 = 2. Therefore, you only need to bring 2 apples.
Also,
You could only bring one apple, and walk through the gates and back. Then you should have around 1.8 apples. Then leave the .8 and repeat for infinite apples! :P
answered Sep 10 at 15:41
Rohit Jose
1,405125
edited Sep 10 at 15:48
answered Sep 10 at 15:41
Rohit Jose
1,405125
answered Sep 10 at 15:41
Rohit Jose
1,405125
answered Sep 10 at 15:41
Rohit Jose
1,405125
1,405125
Ah, I see now. I will change my answer
– Rohit Jose
Sep 10 at 15:46
Nice one (never thought of this tbh)!
– Wais Kamal
Sep 10 at 15:53
@Wais Kamal And neither did the gatekeepers, apparently!
– Rohit Jose
Sep 10 at 15:54
add a comment |Â
Ah, I see now. I will change my answer
– Rohit Jose
Sep 10 at 15:46
Nice one (never thought of this tbh)!
– Wais Kamal
Sep 10 at 15:53
@Wais Kamal And neither did the gatekeepers, apparently!
– Rohit Jose
Sep 10 at 15:54
Ah, I see now. I will change my answer
– Rohit Jose
Sep 10 at 15:46
Ah, I see now. I will change my answer
– Rohit Jose
Sep 10 at 15:46
Nice one (never thought of this tbh)!
– Wais Kamal
Sep 10 at 15:53
Nice one (never thought of this tbh)!
– Wais Kamal
Sep 10 at 15:53
@Wais Kamal And neither did the gatekeepers, apparently!
– Rohit Jose
Sep 10 at 15:54
@Wais Kamal And neither did the gatekeepers, apparently!
– Rohit Jose
Sep 10 at 15:54
add a comment |Â
2
if there was a lateral thinking tag: start with zero apples, walk through the gate, throw your apple over the next gate, then you will have two apples!
– Yout Ried
Sep 10 at 19:48
And that's why I didn't include it, cuz I know some people have an infinitely broad imagination!
– Wais Kamal
Sep 10 at 19:53