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A telephone company charges x cents for the first minute of a call and

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A telephone company charges x cents for the first minute of a call and  [#permalink]

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New post 21 Nov 2010, 19:46
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A
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C
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Question Stats:

55% (02:00) correct 45% (01:29) wrong based on 38 sessions

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A telephone company charges x cents for the first minute of a call and charges for any additional time at the rate of y cents per minute. If a certain call costs $5.55 and lasts more than 1 minute, which of the following expressions represents the length of that call, in minutes?

(A) \(\frac{555 - x}{y}\)

(B) \(\frac{555+x- y}{y}\)

(C) \(\frac{555-x+ y}{y}\)

(D) \(\frac{555-x- y}{y}\)

(E) \(\frac{555}{x+ y}\)
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Re: A telephone company charges x cents for the first minute of a call and  [#permalink]

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New post 21 Nov 2010, 20:10
gettinit wrote:
A telephone company charges x cents for the first
minute of a call and charges for any additional time
at the rate of y cents per minute. If a certain call
costs $5.55 and lasts more than 1 minute, which of
the following expressions represents the length of
that call, in minutes?
(A) \(555 - x / y\)
(B) \(555+x- y/y\)
(C) \(555-x+ y/y\)
(D) \(555-x- y/y\)
(E) \(555/x+ y\)


Let us say the call lasts for n minutes.
Cost of first minute = x
Cost of next (n - 1) minutes = y(n - 1)
Then, x + y(n - 1) = 555
n = (555-x)/y + 1 = (555 - x + y)/y
Answer (C).
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Re: A telephone company charges x cents for the first minute of a call and  [#permalink]

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New post 26 Nov 2010, 15:51
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Thanks Karishma..
Even i was caught in the trap of answer A.
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Re: A telephone company charges x cents for the first minute of a call and  [#permalink]

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New post 26 Nov 2010, 18:59
varunmaheshwari wrote:
Thanks Karishma..
Even i was caught in the trap of answer A.


I am always cautious while marking (A) as my answer. Not because the probability of it being the answer is low, but because if the question has a trap people could fall for, then the question maker will set (A) as that particular lucrative option. (Hell, I do that when I make questions! Kind of a bait!) So I like to double check especially if it seems too easy.

The logic of (555 - x)/y was perfectly valid. The only missing point was that these are the (n -1) additional minutes. You did not account for the 1st minute. So total time will be (555 - x)/y + 1 which is the same as option (C): (555 - x + y)/y

And yes, parentheses will definitely be there in the exam in such a question. 555 - x + y/y = 555 - x + 1 (Since it didn't make any sense here, it was obvious that there are parentheses in the options). Rest assured, there will not be any ambiguity in the actual exam.
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Re: A telephone company charges x cents for the first minute of a call and  [#permalink]

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New post 06 Mar 2018, 07:04
gettinit wrote:
A telephone company charges x cents for the first minute of a call and charges for any additional time at the rate of y cents per minute. If a certain call costs $5.55 and lasts more than 1 minute, which of the following expressions represents the length of that call, in minutes?

(A) \(\frac{555 - x}{y}\)

(B) \(\frac{555+x- y}{y}\)

(C) \(\frac{555-x+ y}{y}\)

(D) \(\frac{555-x- y}{y}\)

(E) \(\frac{555}{x+ y}\)



Since x and y are in cents, we should start by expressing $5.55 in cents, which is 555 cents. We can then create the following equation where t = the length of the call, in minutes:

555 = x + y(t - 1)

555 - x = yt - y

555 - x + y = yt

(555 - x + y)/y = t

Answer: C
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