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# One month Mary used

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

50% (00:00) correct 50% (00:00) wrong based on 2 sessions
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]  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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