Logarithms and exponents [closed]
up vote
0
down vote
favorite
"Suppose that Ingrid has $63$ chocolates. In every step, she meets two friends and divides her pile three ways between herself and her two friends. She divides the chocolates as evenly as possible, but in the event that the chocolates can not be divided perfectly evenly into three piles, she takes the larger pile for herself. How many steps until she is down to one chocolate?"
My logic :
1) Between which powers of 3 is 63 located
2) Low: $3^3 = 27$
3) High: $3^4 = 81$
So for me, I would pick $27 (3$ steeps$)$ instead of $81 (4$ steeps$)$ because she only has $63$ chocolates. $27$ and the leftover $(63-27)$ is for Ingrid.
However, the answer is $4$, anyone willing to explain me? thank you!
algebra-precalculus discrete-mathematics
closed as unclear what you're asking by amWhy, Leucippus, Rebellos, Shailesh, Batominovski Nov 24 at 11:48
Please clarify your specific problem or add additional details to highlight exactly what you need. As it's currently written, it’s hard to tell exactly what you're asking. See the How to Ask page for help clarifying this question. If this question can be reworded to fit the rules in the help center, please edit the question.
add a comment |
up vote
0
down vote
favorite
"Suppose that Ingrid has $63$ chocolates. In every step, she meets two friends and divides her pile three ways between herself and her two friends. She divides the chocolates as evenly as possible, but in the event that the chocolates can not be divided perfectly evenly into three piles, she takes the larger pile for herself. How many steps until she is down to one chocolate?"
My logic :
1) Between which powers of 3 is 63 located
2) Low: $3^3 = 27$
3) High: $3^4 = 81$
So for me, I would pick $27 (3$ steeps$)$ instead of $81 (4$ steeps$)$ because she only has $63$ chocolates. $27$ and the leftover $(63-27)$ is for Ingrid.
However, the answer is $4$, anyone willing to explain me? thank you!
algebra-precalculus discrete-mathematics
closed as unclear what you're asking by amWhy, Leucippus, Rebellos, Shailesh, Batominovski Nov 24 at 11:48
Please clarify your specific problem or add additional details to highlight exactly what you need. As it's currently written, it’s hard to tell exactly what you're asking. See the How to Ask page for help clarifying this question. If this question can be reworded to fit the rules in the help center, please edit the question.
add a comment |
up vote
0
down vote
favorite
up vote
0
down vote
favorite
"Suppose that Ingrid has $63$ chocolates. In every step, she meets two friends and divides her pile three ways between herself and her two friends. She divides the chocolates as evenly as possible, but in the event that the chocolates can not be divided perfectly evenly into three piles, she takes the larger pile for herself. How many steps until she is down to one chocolate?"
My logic :
1) Between which powers of 3 is 63 located
2) Low: $3^3 = 27$
3) High: $3^4 = 81$
So for me, I would pick $27 (3$ steeps$)$ instead of $81 (4$ steeps$)$ because she only has $63$ chocolates. $27$ and the leftover $(63-27)$ is for Ingrid.
However, the answer is $4$, anyone willing to explain me? thank you!
algebra-precalculus discrete-mathematics
"Suppose that Ingrid has $63$ chocolates. In every step, she meets two friends and divides her pile three ways between herself and her two friends. She divides the chocolates as evenly as possible, but in the event that the chocolates can not be divided perfectly evenly into three piles, she takes the larger pile for herself. How many steps until she is down to one chocolate?"
My logic :
1) Between which powers of 3 is 63 located
2) Low: $3^3 = 27$
3) High: $3^4 = 81$
So for me, I would pick $27 (3$ steeps$)$ instead of $81 (4$ steeps$)$ because she only has $63$ chocolates. $27$ and the leftover $(63-27)$ is for Ingrid.
However, the answer is $4$, anyone willing to explain me? thank you!
algebra-precalculus discrete-mathematics
algebra-precalculus discrete-mathematics
edited Nov 24 at 23:59
Key Flex
7,44941232
7,44941232
asked Nov 23 at 20:55
Laura1999
202
202
closed as unclear what you're asking by amWhy, Leucippus, Rebellos, Shailesh, Batominovski Nov 24 at 11:48
Please clarify your specific problem or add additional details to highlight exactly what you need. As it's currently written, it’s hard to tell exactly what you're asking. See the How to Ask page for help clarifying this question. If this question can be reworded to fit the rules in the help center, please edit the question.
closed as unclear what you're asking by amWhy, Leucippus, Rebellos, Shailesh, Batominovski Nov 24 at 11:48
Please clarify your specific problem or add additional details to highlight exactly what you need. As it's currently written, it’s hard to tell exactly what you're asking. See the How to Ask page for help clarifying this question. If this question can be reworded to fit the rules in the help center, please edit the question.
add a comment |
add a comment |
2 Answers
2
active
oldest
votes
up vote
1
down vote
$$63 to 21 to 7 to 3 to 1.$$
Thank you! What is the pattern between each numbers? 63/3 = 21 ; 21/3 = 7 but after I am confused. Thanks!
– Laura1999
Nov 23 at 21:10
@Laura1999: it is precisely what Ingrid does.
– Yves Daoust
Nov 23 at 21:34
@YvesDaoust But what about to reopen that OP, we only need 2 more votes.
– gimusi
Nov 24 at 15:09
@gimusi: I agree, I don't find the question unclear.
– Yves Daoust
Nov 24 at 15:19
@YvesDaoust I think that the closure as a duplicate was corect and fine but the delation is not for an answer with many upvotes and more than 8000 vizualitazions. Let try to undelete that, I've already voted.
– gimusi
Nov 24 at 15:21
add a comment |
up vote
0
down vote
After three steps, she hasn't gotten down to one chocolate (she's got 21 after the first, 7 after the second, and 3 after the third), so it takes a fourth for her to get there.
Thank you! What is the pattern between each numbers? 63/3 = 21 ; 21/3 = 7 but after I am confused. Thanks!
– Laura1999
Nov 23 at 21:12
1
Divide by 3, round up.
– user3482749
Nov 23 at 21:15
add a comment |
2 Answers
2
active
oldest
votes
2 Answers
2
active
oldest
votes
active
oldest
votes
active
oldest
votes
up vote
1
down vote
$$63 to 21 to 7 to 3 to 1.$$
Thank you! What is the pattern between each numbers? 63/3 = 21 ; 21/3 = 7 but after I am confused. Thanks!
– Laura1999
Nov 23 at 21:10
@Laura1999: it is precisely what Ingrid does.
– Yves Daoust
Nov 23 at 21:34
@YvesDaoust But what about to reopen that OP, we only need 2 more votes.
– gimusi
Nov 24 at 15:09
@gimusi: I agree, I don't find the question unclear.
– Yves Daoust
Nov 24 at 15:19
@YvesDaoust I think that the closure as a duplicate was corect and fine but the delation is not for an answer with many upvotes and more than 8000 vizualitazions. Let try to undelete that, I've already voted.
– gimusi
Nov 24 at 15:21
add a comment |
up vote
1
down vote
$$63 to 21 to 7 to 3 to 1.$$
Thank you! What is the pattern between each numbers? 63/3 = 21 ; 21/3 = 7 but after I am confused. Thanks!
– Laura1999
Nov 23 at 21:10
@Laura1999: it is precisely what Ingrid does.
– Yves Daoust
Nov 23 at 21:34
@YvesDaoust But what about to reopen that OP, we only need 2 more votes.
– gimusi
Nov 24 at 15:09
@gimusi: I agree, I don't find the question unclear.
– Yves Daoust
Nov 24 at 15:19
@YvesDaoust I think that the closure as a duplicate was corect and fine but the delation is not for an answer with many upvotes and more than 8000 vizualitazions. Let try to undelete that, I've already voted.
– gimusi
Nov 24 at 15:21
add a comment |
up vote
1
down vote
up vote
1
down vote
$$63 to 21 to 7 to 3 to 1.$$
$$63 to 21 to 7 to 3 to 1.$$
answered Nov 23 at 21:07
Yves Daoust
123k668219
123k668219
Thank you! What is the pattern between each numbers? 63/3 = 21 ; 21/3 = 7 but after I am confused. Thanks!
– Laura1999
Nov 23 at 21:10
@Laura1999: it is precisely what Ingrid does.
– Yves Daoust
Nov 23 at 21:34
@YvesDaoust But what about to reopen that OP, we only need 2 more votes.
– gimusi
Nov 24 at 15:09
@gimusi: I agree, I don't find the question unclear.
– Yves Daoust
Nov 24 at 15:19
@YvesDaoust I think that the closure as a duplicate was corect and fine but the delation is not for an answer with many upvotes and more than 8000 vizualitazions. Let try to undelete that, I've already voted.
– gimusi
Nov 24 at 15:21
add a comment |
Thank you! What is the pattern between each numbers? 63/3 = 21 ; 21/3 = 7 but after I am confused. Thanks!
– Laura1999
Nov 23 at 21:10
@Laura1999: it is precisely what Ingrid does.
– Yves Daoust
Nov 23 at 21:34
@YvesDaoust But what about to reopen that OP, we only need 2 more votes.
– gimusi
Nov 24 at 15:09
@gimusi: I agree, I don't find the question unclear.
– Yves Daoust
Nov 24 at 15:19
@YvesDaoust I think that the closure as a duplicate was corect and fine but the delation is not for an answer with many upvotes and more than 8000 vizualitazions. Let try to undelete that, I've already voted.
– gimusi
Nov 24 at 15:21
Thank you! What is the pattern between each numbers? 63/3 = 21 ; 21/3 = 7 but after I am confused. Thanks!
– Laura1999
Nov 23 at 21:10
Thank you! What is the pattern between each numbers? 63/3 = 21 ; 21/3 = 7 but after I am confused. Thanks!
– Laura1999
Nov 23 at 21:10
@Laura1999: it is precisely what Ingrid does.
– Yves Daoust
Nov 23 at 21:34
@Laura1999: it is precisely what Ingrid does.
– Yves Daoust
Nov 23 at 21:34
@YvesDaoust But what about to reopen that OP, we only need 2 more votes.
– gimusi
Nov 24 at 15:09
@YvesDaoust But what about to reopen that OP, we only need 2 more votes.
– gimusi
Nov 24 at 15:09
@gimusi: I agree, I don't find the question unclear.
– Yves Daoust
Nov 24 at 15:19
@gimusi: I agree, I don't find the question unclear.
– Yves Daoust
Nov 24 at 15:19
@YvesDaoust I think that the closure as a duplicate was corect and fine but the delation is not for an answer with many upvotes and more than 8000 vizualitazions. Let try to undelete that, I've already voted.
– gimusi
Nov 24 at 15:21
@YvesDaoust I think that the closure as a duplicate was corect and fine but the delation is not for an answer with many upvotes and more than 8000 vizualitazions. Let try to undelete that, I've already voted.
– gimusi
Nov 24 at 15:21
add a comment |
up vote
0
down vote
After three steps, she hasn't gotten down to one chocolate (she's got 21 after the first, 7 after the second, and 3 after the third), so it takes a fourth for her to get there.
Thank you! What is the pattern between each numbers? 63/3 = 21 ; 21/3 = 7 but after I am confused. Thanks!
– Laura1999
Nov 23 at 21:12
1
Divide by 3, round up.
– user3482749
Nov 23 at 21:15
add a comment |
up vote
0
down vote
After three steps, she hasn't gotten down to one chocolate (she's got 21 after the first, 7 after the second, and 3 after the third), so it takes a fourth for her to get there.
Thank you! What is the pattern between each numbers? 63/3 = 21 ; 21/3 = 7 but after I am confused. Thanks!
– Laura1999
Nov 23 at 21:12
1
Divide by 3, round up.
– user3482749
Nov 23 at 21:15
add a comment |
up vote
0
down vote
up vote
0
down vote
After three steps, she hasn't gotten down to one chocolate (she's got 21 after the first, 7 after the second, and 3 after the third), so it takes a fourth for her to get there.
After three steps, she hasn't gotten down to one chocolate (she's got 21 after the first, 7 after the second, and 3 after the third), so it takes a fourth for her to get there.
answered Nov 23 at 20:56
user3482749
2,166414
2,166414
Thank you! What is the pattern between each numbers? 63/3 = 21 ; 21/3 = 7 but after I am confused. Thanks!
– Laura1999
Nov 23 at 21:12
1
Divide by 3, round up.
– user3482749
Nov 23 at 21:15
add a comment |
Thank you! What is the pattern between each numbers? 63/3 = 21 ; 21/3 = 7 but after I am confused. Thanks!
– Laura1999
Nov 23 at 21:12
1
Divide by 3, round up.
– user3482749
Nov 23 at 21:15
Thank you! What is the pattern between each numbers? 63/3 = 21 ; 21/3 = 7 but after I am confused. Thanks!
– Laura1999
Nov 23 at 21:12
Thank you! What is the pattern between each numbers? 63/3 = 21 ; 21/3 = 7 but after I am confused. Thanks!
– Laura1999
Nov 23 at 21:12
1
1
Divide by 3, round up.
– user3482749
Nov 23 at 21:15
Divide by 3, round up.
– user3482749
Nov 23 at 21:15
add a comment |