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# Debts

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Manager
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09 Oct 2009, 13:34
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I know these questions are kind of easy but I have always difficultieswhen they appear any method or explanation that you guys give will be appreciated thanks a lot

Anne owes Bob $4, Bob owes Carol$3, and Carol owes Anne $5. If Carol settles all the debts by giving money to both Anne and Bob How much will she give Anne? A)$1
B) $2 C)$3
D) $4 E)$5
Math Expert
Joined: 02 Sep 2009
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09 Oct 2009, 14:01
Expert's post
TheRob wrote:
I know these questions are kind of easy but I have always difficultieswhen they appear any method or explanation that you guys give will be appreciated thanks a lot

Anne owes Bob $4, Bob owes Carol$3, and Carol owes Anne $5. If Carol settles all the debts by giving money to both Anne and Bob How much will she give Anne? A)$1
B) $2 C)$3
D) $4 E)$5

Anne owes someone 4$and another person owes her 5$ (so her balance is +1). If all debts are settled not by Anne (as stated), Anne should gain 1$. Answer 1. _________________ Intern Joined: 02 Oct 2009 Posts: 16 Followers: 0 Kudos [?]: 33 [0], given: 5 Re: Debts [#permalink] ### Show Tags 10 Oct 2009, 07:33 Bunuel wrote: TheRob wrote: I know these questions are kind of easy but I have always difficultieswhen they appear any method or explanation that you guys give will be appreciated thanks a lot Anne owes Bob$4, Bob owes Carol $3, and Carol owes Anne$5. If Carol settles all the debts by giving money to both Anne and Bob How much will she give Anne?

A) $1 B)$2
C) $3 D)$4
E) $5 Anne owes someone 4$ and another person owes her 5$(so her balance is +1). If all debts are settled not by Anne (as stated), Anne should gain 1$. Answer 1.

The question asks for the amount Carol has to give to Anne. The answer should thus be $2. Math Expert Joined: 02 Sep 2009 Posts: 33547 Followers: 5944 Kudos [?]: 73752 [0], given: 9903 Re: Debts [#permalink] ### Show Tags 10 Oct 2009, 09:07 Expert's post rvthryet wrote: Bunuel wrote: TheRob wrote: I know these questions are kind of easy but I have always difficultieswhen they appear any method or explanation that you guys give will be appreciated thanks a lot Anne owes Bob$4, Bob owes Carol $3, and Carol owes Anne$5. If Carol settles all the debts by giving money to both Anne and Bob How much will she give Anne?

A) $1 B)$2
C) $3 D)$4
E) $5 Anne owes someone 4$ and another person owes her 5$(so her balance is +1). If all debts are settled not by Anne (as stated), Anne should gain 1$. Answer 1.

The question asks for the amount Carol has to give to Anne. The answer should thus be $2. I still believe answer is A (1$), though we don't have OA yet.

Let's go step by step.

We are told that: "Carol settles all the debts by giving money to both Anne and Bob" --> which means that by this one only action (giving money to both Anne and Bob) Carol settles ALL debts. How this can happen?

The balances of each:

Anne: +1(5-4)
Bob: +1 (4-3)
Carol: -2 (3-5)

So if carol wants to settle all the debts she must give 1$to Anne and 1$ to Bob. After this operation by Carol all the debts would be settled. So carol should give Anne 1$. Answer: A. _________________ Intern Joined: 02 Oct 2009 Posts: 16 Followers: 0 Kudos [?]: 33 [0], given: 5 Re: Debts [#permalink] ### Show Tags 10 Oct 2009, 20:11 Oh Yes! I made Carol give$2 to Anne and Anne in turn gave \$1 to Bob. I think you are right.. But can we have the OA!!
Manager
Joined: 15 Sep 2009
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11 Oct 2009, 08:11
I will go with option A
Re: Debts   [#permalink] 11 Oct 2009, 08:11
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