Yahoo Answers: Answers and Comments for Algebra question!!!!!!!!? [Mathematics]
Copyright © Yahoo! Inc. All rights reserved.
https://answers.yahoo.com/question/index?qid=20120510073020AAdDRkN
From Anonymous
enUS
Thu, 10 May 2012 07:30:20 +0000
3
Yahoo Answers: Answers and Comments for Algebra question!!!!!!!!? [Mathematics]
292
38
https://answers.yahoo.com/question/index?qid=20120510073020AAdDRkN
https://s.yimg.com/zz/combo?images/emaillogous.png

From Ed I: He gave 2/3 of P to Roy, so he has P/3 remaini...
https://answers.yahoo.com/question/index?qid=20120510073020AAdDRkN
https://answers.yahoo.com/question/index?qid=20120510073020AAdDRkN
Thu, 10 May 2012 07:35:29 +0000
He gave 2/3 of P to Roy, so he has P/3 remaining.
He gives 1/4 of those to Maria, that would leave him with 3/4 of what he had, or 3/4 • P/3 = P/4.
c

From Keith Roberts: Hi Katelyn,
The important thing to note in ...
https://answers.yahoo.com/question/index?qid=20120510073020AAdDRkN
https://answers.yahoo.com/question/index?qid=20120510073020AAdDRkN
Thu, 10 May 2012 07:44:42 +0000
Hi Katelyn,
The important thing to note in this problem is that there is a sequence of transactions that are occurring, so that when a fraction is given for the amount remaining, the fact that they ask it after a proceeding transaction is completed is important. Here what I mean. Here are the transactions in the problem:
(1) John starts with P pencils;
(2) John gives 2/3 of his pencils to Roy;
(3) John gives 1/4 of his remaining pencils to Maria.
(4) John now has ? pencils remaining.
So in (1) he has P; then he has gives 2/3 of that away, which means he has (1/3) P remaining after (2). He then gives 1/4 of that amount away, meaning that he has 3/4 of the amount he had after step (2) at the end of step (3). That is, he has (3/4)*(1/3)P = (1/4)P. Thus in step (4) he has (1/4)P.
To check, say John has 12 pencils. Then:
(1) John starts with 12 pencils;
(2) John gives 2/3 of his pencils to Roy, that is 8 pencils to Roy. John now has 4 pencils left.
(3) John gives 1/4 of his remaining pencils to Maria, or 1 pencil to Maria. He therefore has 3 pencils left.
(4) John now has 3 pencils remaining, which is 1/4 the original amount of 12 pencils. And our answer is confirmed for the case of P = 12 pencils.
As always, if you need more help, please clarify where you are in the process and what's giving you trouble. I'd be more than happy to continue to assist.
If we've been helpful in answering your question, please consider being one of the first to stop by our brand new Facebook page at www.facebook.com/protutorcompany.