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# Kendra works 5 days per week and earns d dollars per day. Which of the

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Math Expert
Joined: 02 Sep 2009
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Kendra works 5 days per week and earns d dollars per day. Which of the  [#permalink]

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11 Oct 2017, 23:36
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94% (00:25) correct 6% (00:04) wrong based on 36 sessions

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Kendra works 5 days per week and earns d dollars per day. Which of the following represents the amount Kendra earns at this job in w weeks?

(A) dw/5
(B) 5w/d
(C) 5d/w
(D) w/(5d)
(E) 5dw

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Re: Kendra works 5 days per week and earns d dollars per day. Which of the  [#permalink]

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12 Oct 2017, 00:58
Kendra is earing 5 days a week her 1 week earning will be 5d.
To find out earing for w weeks we have to multiply her 1 week earning with number of weeks she will be earning. That will be 5dxw
5dw is answer. Correct me if i am wrong

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Kendra works 5 days per week and earns d dollars per day. Which of the  [#permalink]

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12 Oct 2017, 07:53
Bunuel wrote:
Kendra works 5 days per week and earns d dollars per day. Which of the following represents the amount Kendra earns at this job in w weeks?

(A) dw/5
(B) 5w/d
(C) 5d/w
(D) w/(5d)
(E) 5dw

Algebraically

In $$5$$ days she makes:

$$(\frac{d}{1day}) * (5 days) = 5d$$

$$5$$ days = $$1w$$, so in $$1w$$ she makes $$5d$$

If $$5d$$ in $$1w$$, then in $$w$$ weeks she makes:

$$5d * w = 5dw$$

Assign values

Let $$d$$ dollars per day = 10
Let $$w$$ weeks = 2
She works 5 days per week

What is the amount she earns in $$w$$ weeks?

Each day she makes $10 In 5 days she earns (5 *$10) = $50 5 days is one work week She earns$50 in one work week

In (2 weeks) * ($50/week) she makes$100

days per week = $$5, d = 10, w = 2$$

With those values, we need the answer that = 100 dollars

Eliminate Answers B and D. $$w$$ is 2. The numerators are tiny; those fractions are much less than $100 (A) dw/5: ($10)(2)/5 = $4. NOT A MATCH (C) 5d/w: (5)($10)/2 = $25. NOT A MATCH (E) 5dw: (5)($10)(2) = \$100. MATCH

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Re: Kendra works 5 days per week and earns d dollars per day. Which of the  [#permalink]

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16 Oct 2017, 16:52
Bunuel wrote:
Kendra works 5 days per week and earns d dollars per day. Which of the following represents the amount Kendra earns at this job in w weeks?

(A) dw/5
(B) 5w/d
(C) 5d/w
(D) w/(5d)
(E) 5dw

In one week, Kendra earns 5d dollars. In w weeks, therefore, she earns 5dw dollars.

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Re: Kendra works 5 days per week and earns d dollars per day. Which of the &nbs [#permalink] 16 Oct 2017, 16:52
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