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# What is the cost, in cents, of using a certain fax machine to send n

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Math Expert
Joined: 02 Sep 2009
Posts: 51127
What is the cost, in cents, of using a certain fax machine to send n  [#permalink]

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12 Jul 2018, 23:12
00:00

Difficulty:

55% (hard)

Question Stats:

52% (01:20) correct 48% (00:53) wrong based on 43 sessions

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What is the cost, in cents, of using a certain fax machine to send n pages of a report if the total cost for sending the first k pagers is r cents and the cost for sending each additional page is s cents? (Assume that n > k.)

(A) r + s (n - k)
(B) r + s (n + k)
(C) rs(n + k)
(D) kr + s(n - k)
(E) kr + ns

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Re: What is the cost, in cents, of using a certain fax machine to send n  [#permalink]

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12 Jul 2018, 23:18
Given n > k

Total cost for sending the first k pagers is r cents

Since n > k, there are (n-k) more pages that need to be sent

Each additional page after k costs s cents

=> Cost of sending (n-k) more pages is (n-k) * s

=> Total cost = r + (n-k)s

Hence option A
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Re: What is the cost, in cents, of using a certain fax machine to send n  [#permalink]

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12 Jul 2018, 23:29
Cost of print first 'k' pages = r.
Remaining number of pages = (n-k) , costing 's' each.
Total Cost = r+ (n-k)s
Option A
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Re: What is the cost, in cents, of using a certain fax machine to send n  [#permalink]

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13 Jul 2018, 03:58
Bunuel wrote:
What is the cost, in cents, of using a certain fax machine to send n pages of a report if the total cost for sending the first k pagers is r cents and the cost for sending each additional page is s cents? (Assume that n > k.)

(A) r + s (n - k)
(B) r + s (n + k)
(C) rs(n + k)
(D) kr + s(n - k)
(E) kr + ns

Note:

1. Total cost for sending k pages is r cents.

2. For each additional pages s cents will be charged.

3. Total no page = n

we can form an formula to determine the cost of sending n pages.

r + ( n-k)s

where , n-k is the remaining no. of pages.

Thus the answer is A .
Re: What is the cost, in cents, of using a certain fax machine to send n &nbs [#permalink] 13 Jul 2018, 03:58
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