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Mary’s annual income is

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dvk007
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Mary’s annual income is [#permalink] New post   08 Jun 2019, 04:43
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Mary’s annual income is $15,000 and John’s annual income is $18,000. By how much must Mary’s annual income increase so that it constitutes 55% of Mary and John’s combined income?

(A) $3,000
(B) $4,000
(C) $7,000
(D) $11,000
(E) $25,000
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C
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Re: Mary’s annual income is [#permalink] New post   23 Apr 2020, 04:00
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Let the increase in income be x

Now let's create the equation.

(15000+x) = 0.55(15000+18000+x) --> linear equation
solving for x
x=7000

Hence, C is the Answer.
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Re: Mary’s annual income is [#permalink] New post   23 Apr 2020, 04:52
dvk007 wrote:
Mary’s annual income is $15,000 and John’s annual income is $18,000. By how much must Mary’s annual income increase so that it constitutes 55% of Mary and John’s combined income?

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


Who is this a work/rate problem ?
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MyGuruSteve
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Re: Mary’s annual income is [#permalink] New post   23 Apr 2020, 13:12
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dvk007 wrote:
Mary’s annual income is $15,000 and John’s annual income is $18,000. By how much must Mary’s annual income increase so that it constitutes 55% of Mary and John’s combined income?

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


If Mary's income (after the increase) is 55% of the combined total, that means that John's income (which is fixed at 18,000), must be 45% of the total (T).

So \(18,000=.45t\), or \(t = \frac{18,000}{0.45} = 40,000\).

That means that Mary's new income would be \(40,000 - 18,000 = 22,000\), which is \($7,000\) more than she has now.

Answer: C
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Mary’s annual income is $15,000 and John’s annual income is $18,000. B [#permalink] New post   28 Sep 2021, 00:19
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Mary’s annual income is $15,000 and John’s annual income is $18,000. By how much must Mary’s annual income increase so that it constitutes 55% of Mary and John’s combined income?

(A) $3,000
(B) $4,000
(C) $7,000
(D) $11,000
(E) $25,000
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Re: Marys annual income is [#permalink] New post   13 May 2023, 09:43
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Given that Mary’s annual income is $15,000 and John’s annual income is $18,000. And we need to find By how much must Mary’s annual income increase so that it constitutes 55% of Mary and John’s combined income?

Let Mary's income increase by x, then the equation will be
15,000 + x= (55/100)* (15,000 + x + 18000 )
15,000 + x = (11/20) * (33,000 + x)
300,000 + 20x = 11x + 363,000
9 x = 63,000
x = 7,000

So, Answer will be C
Hope it helps!
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Re: Marys annual income is [#permalink]
13 May 2023, 09:43
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