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

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Difficulty:

55% (hard)

Question Stats:

57% (03:12) correct
43% (01:52) wrong based on 53 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?

Re: Rebecca's annual income is $15,000 [#permalink]
15 Nov 2012, 23:09

2

This post received KUDOS

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

Re: Rebecca's annual income is $15,000 [#permalink]
11 Nov 2012, 01:58

1

This post received KUDOS

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

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

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

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.

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

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?

gmatclubot

Re: Rebecca's annual income is $15,000 and Jimmy's annual income
[#permalink]
16 Nov 2012, 22:25

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