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Rebecca's annual income is $15,000 and Jimmy's annual income [#permalink]
 11 Nov 2012, 02:38
Question Stats:
38% (02:58) correct
61% (01:26) wrong based on 2 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
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Re: Rebecca's annual income is $15,000 [#permalink]
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)}=0.55Solve for x. You get x=7000Why 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]
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)}=0.55Solve for x. You get x=7000
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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]
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)}=0.55Solve for x. You get x=7000Why 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]
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]
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]
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]
16 Nov 2012, 23:25
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