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The price of a phone call consists of a standard connection fee, which

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The price of a phone call consists of a standard connection fee, which  [#permalink]

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New post 27 Jul 2018, 01:32
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A
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D
E

Difficulty:

  35% (medium)

Question Stats:

86% (02:18) correct 14% (02:43) wrong based on 28 sessions

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The price of a phone call consists of a standard connection fee, which is constant, plus a per minute charge. A 10-minute call costs $2.90 and a 16-minute call costs $4.40. How much does a 13-minute call cost?

(A) $3.55
(B) $3.57
(C) $3.58
(D) $3.65
(E) $3.77

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Re: The price of a phone call consists of a standard connection fee, which  [#permalink]

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New post 27 Jul 2018, 02:50
1
Let s be the standard connection fee and c be the minute charge

A 10-minute call costs $2.90 = 290 cents

=> s + 10c = 290 ------- (1)

16-minute call costs $4.40 = 440 cents

=> s + 16c = 440 ------- (2)

Subtracting 1 from 2

6c = 150

=> c = 25

Substituting the value of c in 1

=> s + 250 = 290

=> s = 40

13-minute call would cost => 40 + 13(25) = 365 cents = $3.65

Hence option D
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Re: The price of a phone call consists of a standard connection fee, which  [#permalink]

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New post 27 Jul 2018, 02:58
Ans: D
As one method is already mentioned above.. Idea is same here but might be a bit short.
Given : Call cost(C ) = fixed Charge (F)+ Minutes(minutes charge) (nM) : where n is number of minutes.
so from stem:
2.90 = F+9M ----(Eq.1)
4.40 = F+15M ----(Eq.2): and we need to find F+12M = ?? ----(Eq.3)
now we can start solving and do the calculations by finding one value and then getting second or just look at the equations. if we add Eq.1 & Eq.2
2.90 = F+9M
4.40 = F+15M
---------------
7.30 = 2F + 24M : gives is 3.65 =F+12M ans..

Bunuel wrote:
The price of a phone call consists of a standard connection fee, which is constant, plus a per minute charge. A 10-minute call costs $2.90 and a 16-minute call costs $4.40. How much does a 13-minute call cost?

(A) $3.55
(B) $3.57
(C) $3.58
(D) $3.65
(E) $3.77

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Re: The price of a phone call consists of a standard connection fee, which  [#permalink]

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New post 27 Jul 2018, 03:29
Let:
F be be the fixed connection cost
V be variable cost per minute

We get two equations:
F+10V=2.9
F+16v=4.4

Solve it and F=0.4 V=0.25

0.4+13*0.25=3.65

IMO
Ans: D
Re: The price of a phone call consists of a standard connection fee, which &nbs [#permalink] 27 Jul 2018, 03:29
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