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Rebecca's annual income is $15,000 and Jimmy's annual income

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Rebecca's annual income is $15,000 and Jimmy's annual income [#permalink] New post 11 Nov 2012, 01:38
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Question Stats:

48% (03:24) correct 51% (01:35) wrong based on 31 sessions
Rebecca's annual income is $15,000 and Jimmy's annual income is $18,000. By how much must Rebecca's annual income increase so that it constitutes 55% of Rebecca and Jimmy's combined income?

(A) $3,000
(B) $4,000
(C) $7,000
(D) $11,000
(E) $25,000
[Reveal] Spoiler: OA

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Re: Rebecca's annual income is $15,000 [#permalink] New post 15 Nov 2012, 23:09
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chibimoon wrote:
th03 wrote:
Pansi wrote:
Rebecca's annual income is $15,000 and Jimmy's annual income is $18,000. By how much must Rebecca's annual income increase so that it constitutes 55% of Rebecca and Jimmy's combined income?
(A) $3,000
(B) $4,000
(C) $7,000
(D) $11,000
(E) $25,000

\frac{(15000+x)}{(15000+x+18000)}=0.55

Solve for x. You get x=7000

Why is that that Rebeca + jimmy's combined income is 15000 + X + 18000, shouldnt it be just 15k = 18k?

Rebecca's existing income is $15,000. Let Rebecca's new income be $(15,000+x).

This new income of $(15,000+x) constitues 55% of Rebecca and Jimmy's combined income.

Therefore Rebecca + Jimmy's income = Rebecca's new income + Jimmy's income = $(15,000+x) + $18,000

=> \frac{Rebecca'sNewIncome}{(Rebecca'sNewIncome + Jimmy'sIncome)}=55%

When Rebecca's income increases by x dollars, Rebecca and Jimmy's combined income also increases by x dollars. Does this make sense?
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Re: Rebecca's annual income is $15,000 [#permalink] New post 11 Nov 2012, 01:58
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Pansi wrote:
Rebecca's annual income is $15,000 and Jimmy's annual income is $18,000. By how much must Rebecca's annual income increase so that it constitutes 55% of Rebecca and Jimmy's combined income?
(A) $3,000
(B) $4,000
(C) $7,000
(D) $11,000
(E) $25,000

\frac{(15000+x)}{(15000+x+18000)}=0.55

Solve for x. You get x=7000
_________________

TH

Give me +1 Kudos if my post helped!

"Follow your passion. Change the world."

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Re: Rebecca's annual income is $15,000 [#permalink] New post 15 Nov 2012, 15:15
th03 wrote:
Pansi wrote:
Rebecca's annual income is $15,000 and Jimmy's annual income is $18,000. By how much must Rebecca's annual income increase so that it constitutes 55% of Rebecca and Jimmy's combined income?
(A) $3,000
(B) $4,000
(C) $7,000
(D) $11,000
(E) $25,000

\frac{(15000+x)}{(15000+x+18000)}=0.55

Solve for x. You get x=7000

Why is that that Rebeca + jimmy's combined income is 15000 + X + 18000, shouldnt it be just 15k = 18k?
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Re: Rebecca's annual income is $15,000 and Jimmy's annual income [#permalink] New post 16 Nov 2012, 10:16
yes thank you, guess i need to learn on how to read questions properly
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Re: Rebecca's annual income is $15,000 and Jimmy's annual income [#permalink] New post 16 Nov 2012, 17:32
Pansi wrote:
Rebecca's annual income is $15,000 and Jimmy's annual income is $18,000. By how much must Rebecca's annual income increase so that it constitutes 55% of Rebecca and Jimmy's combined income?

(A) $3,000
(B) $4,000
(C) $7,000
(D) $11,000
(E) $25,000


In my opinion, the question is a bit misleading. The answer assumes the reader is combining Rebecca's new income with Jimmy's current income. The way I read the question is Rebecca's current income + Jimmy's current income (which leads to an answer of $3,150).

Where is this from? From my perspective, this doesn't seem like a good question as there is ambiguity, although I may be missing something obvious.
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Re: Rebecca's annual income is $15,000 and Jimmy's annual income [#permalink] New post 16 Nov 2012, 22:25
egiles wrote:
Pansi wrote:
Rebecca's annual income is $15,000 and Jimmy's annual income is $18,000. By how much must Rebecca's annual income increase so that it constitutes 55% of Rebecca and Jimmy's combined income?

(A) $3,000
(B) $4,000
(C) $7,000
(D) $11,000
(E) $25,000


In my opinion, the question is a bit misleading. The answer assumes the reader is combining Rebecca's new income with Jimmy's current income. The way I read the question is Rebecca's current income + Jimmy's current income (which leads to an answer of $3,150).

Where is this from? From my perspective, this doesn't seem like a good question as there is ambiguity, although I may be missing something obvious.



Yes, i agree, any tips on avoiding this mistake in the future please?
Re: Rebecca's annual income is $15,000 and Jimmy's annual income   [#permalink] 16 Nov 2012, 22:25
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Rebecca's annual income is $15,000 and Jimmy's annual income

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