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One month Mary used

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One month Mary used [#permalink] New post 14 Aug 2019, 01:47
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Question Stats:

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One month Mary used \(\frac{1}{6}\) of her monthly salary for a car payment and \(\frac{1}{4}\) more than the car payment for rent. What fraction of her monthly salary did Mary use that month for the car payment and rent combined?

A. \(\frac{5}{24}\)

B. \(\frac{3}{8}\)

C. \(\frac{5}{12}\)

D. \(\frac{1}{2}\)

E. \(\frac{7}{12}\)
[Reveal] Spoiler: OA

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Re: One month Mary used [#permalink] New post 14 Aug 2019, 09:39
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Carcass wrote:
One month Mary used \(\frac{1}{6}\) of her monthly salary for a car payment and \(\frac{1}{4}\) more than the car payment for rent. What fraction of her monthly salary did Mary use that month for the car payment and rent combined?

A. \(\frac{5}{24}\)

B. \(\frac{3}{8}\)

C. \(\frac{5}{12}\)

D. \(\frac{1}{2}\)

E. \(\frac{7}{12}\)


Here,

Let's take the total Salary as = 24 (since it is divisible by both 6 and 4)

Now the first part,

\(\frac{1}{6}\) of salary = \(\frac{1}{6}\) * 24 = 4

Now, she uses 1/4 more than the car payment for Rent i.e = \(\frac{1}{4} * 4 = 1\)

Total rent paid = \(1 + 4 = 5\)

Combination of both rent and car payment =\(5 + 4 = 9\)

Therefore, fraction of her monthly salary did Mary use that month for the car payment and rent combined = \(\frac{9}{24} = \frac{3}{8}\)
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Re: One month Mary used   [#permalink] 14 Aug 2019, 09:39
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