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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]

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New post 11 Nov 2012, 02:38
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Question Stats:

61% (02:00) correct 39% (01:42) wrong based on 184 sessions

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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]

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New post 11 Nov 2012, 02:58
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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 \(x=7000\)
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Re: Rebecca's annual income is $15,000 [#permalink]

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New post 16 Nov 2012, 00:09
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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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Rebecca's annual income is $15,000 and Jimmy's annual income [#permalink]

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New post 20 Oct 2015, 13:09
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I think a quick way to solve is to pick the middle answer and try:

c) 7000:
Total becca new = 7000+15000 = 22000
Total new all = 7000+15000+18000 = 40000

22000/40000 = 0,55 * 100 = 55%, Bazinga!

(22000/40000 = 220/400 --> /4 = 55/100= 55%)

NOTE: Now this is a first try lucky shot, if the answer was lower than 0,55 --> eliminate A,B,C --> try D or E

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Re: Rebecca's annual income is $15,000 and Jimmy's annual income [#permalink]

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New post 19 Oct 2015, 22:56
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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.


Actually, there is no ambiguity in this question. It is extremely logical that the total salary will consist of Rebecca's new salary.

If Rebecca's new salary has to constitute 55% of their combined income, then obviously, their combined income includes her "new salary" only - there are no two ways about it.
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Re: Rebecca's annual income is $15,000 and Jimmy's annual income [#permalink]

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New post 21 Oct 2015, 03:09
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Let the increase in Rebecca's salary be $x
Rebecca's new income = $15000 + x

15000 + x = (55/100)* (15000 + x + 18000)
15000 + x = 0.55x + 18150
0.45x = 3150
x = $7000 Option C
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Re: Rebecca's annual income is $15,000 [#permalink]

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New post 15 Nov 2012, 16:15
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]

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New post 16 Nov 2012, 11:16
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]

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New post 16 Nov 2012, 18:32
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]

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New post 16 Nov 2012, 23:25
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?

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Re: Rebecca's annual income is $15,000 and Jimmy's annual income [#permalink]

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Re: Rebecca's annual income is $15,000 and Jimmy's annual income [#permalink]

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Re: Rebecca's annual income is $15,000 and Jimmy's annual income [#permalink]

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New post 01 Dec 2016, 00:15
Quick way to go through options. In order to be 55% of combined salary share of Rebecca, it shoul be higher than salary of Jimmy which is 18,000.
so i picked b and c in which I got C as correct ans

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Re: Rebecca's annual income is $15,000 and Jimmy's annual income [#permalink]

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New post 02 Dec 2016, 05:34
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.

Agreed. I made the same mistake.

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Re: Rebecca's annual income is $15,000 and Jimmy's annual income [#permalink]

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New post 31 Jul 2017, 06:51
Nitu27 wrote:
Quick way to go through options. In order to be 55% of combined salary share of Rebecca, it shoul be higher than salary of Jimmy which is 18,000.
so i picked b and c in which I got C as correct ans


Better to solve the question directly as no such complexity is involved.
Only we need to read the question thoroughly
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Re: Rebecca's annual income is $15,000 and Jimmy's annual income   [#permalink] 31 Jul 2017, 06:51
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