Oct 19 07:00 AM PDT  09:00 AM PDT Does GMAT RC seem like an uphill battle? eGMAT is conducting a free webinar to help you learn reading strategies that can enable you to solve 700+ level RC questions with at least 90% accuracy in less than 10 days. Sat., Oct 19th at 7 am PDT Oct 18 08:00 AM PDT  09:00 AM PDT Learn an intuitive, systematic approach that will maximize your success on Fillintheblank GMAT CR Questions. Oct 20 07:00 AM PDT  09:00 AM PDT Get personalized insights on how to achieve your Target Quant Score. Oct 22 08:00 PM PDT  09:00 PM PDT On Demand for $79. For a score of 4951 (from current actual score of 40+) AllInOne Standard & 700+ Level Questions (150 questions) Oct 23 08:00 AM PDT  09:00 AM PDT Join an exclusive interview with the people behind the test. If you're taking the GMAT, this is a webinar you cannot afford to miss!
Author 
Message 
TAGS:

Hide Tags

Math Expert
Joined: 02 Sep 2009
Posts: 58453

The price of a phone call consists of a standard connection fee, which
[#permalink]
Show Tags
27 Jul 2018, 01:32
Question Stats:
85% (02:14) correct 15% (02:33) wrong based on 131 sessions
HideShow timer Statistics
The price of a phone call consists of a standard connection fee, which is constant, plus a per minute charge. A 10minute call costs $2.90 and a 16minute call costs $4.40. How much does a 13minute call cost? (A) $3.55 (B) $3.57 (C) $3.58 (D) $3.65 (E) $3.77
Official Answer and Stats are available only to registered users. Register/ Login.
_________________



MBA Section Director
Affiliations: GMATClub
Joined: 22 May 2017
Posts: 2598
GPA: 4
WE: Engineering (Computer Software)

Re: The price of a phone call consists of a standard connection fee, which
[#permalink]
Show Tags
27 Jul 2018, 02:50
Let s be the standard connection fee and c be the minute charge A 10minute call costs $2.90 = 290 cents => s + 10c = 290  (1) 16minute 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 13minute call would cost => 40 + 13(25) = 365 cents = $3.65 Hence option D
_________________



Senior Manager
Joined: 21 Jan 2015
Posts: 458
Location: India
Concentration: Strategy, Marketing
GMAT 1: 620 Q48 V28 GMAT 2: 690 Q49 V35
WE: Sales (Consumer Products)

Re: The price of a phone call consists of a standard connection fee, which
[#permalink]
Show Tags
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 10minute call costs $2.90 and a 16minute call costs $4.40. How much does a 13minute call cost?
(A) $3.55 (B) $3.57 (C) $3.58 (D) $3.65 (E) $3.77
_________________
 The Mind is Everything, What we Think we Become.



Senior Manager
Joined: 13 Feb 2018
Posts: 450

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



EMPOWERgmat Instructor
Status: GMAT Assassin/CoFounder
Affiliations: EMPOWERgmat
Joined: 19 Dec 2014
Posts: 15281
Location: United States (CA)

Re: The price of a phone call consists of a standard connection fee, which
[#permalink]
Show Tags
02 Oct 2018, 21:40
Hi All, We're told that the price of a phone call consists of a standard connection fee, which is constant, plus a per minute charge, a 10minute call costs $2.90 and a 16minute call costs $4.40. We're asked for the cost of a 13minute call. This question can be solved in a couple of different ways  and there's a great 'rate shortcut' that you can use to avoid some of the extra math that comes with certain approaches. Since there's a standard connection fee, we know that the difference between the costs of two calls is solely due to the number of minutes in the call. With the given information (about a 10minute call and a 16minute call), the difference in price comes down to the 6 minute difference in the length of the calls. Thus, the extra 6 minutes cost an extra $4.40  $2.90 = $1.50. We're asked for the cost of a 13minute call  which is exactly 'halfway' between those two prices. Half of $1.50 is $0.75, so we can add that to the cost of a 10minute call to find the cost of the 13minute call. $2.90 + $0.75 = $3.65 Final Answer: GMAT assassins aren't born, they're made, Rich
_________________
Contact Rich at: Rich.C@empowergmat.comThe Course Used By GMAT Club Moderators To Earn 750+ souvik101990 Score: 760 Q50 V42 ★★★★★ ENGRTOMBA2018 Score: 750 Q49 V44 ★★★★★



Target Test Prep Representative
Status: Founder & CEO
Affiliations: Target Test Prep
Joined: 14 Oct 2015
Posts: 8109
Location: United States (CA)

Re: The price of a phone call consists of a standard connection fee, which
[#permalink]
Show Tags
03 Oct 2018, 17:59
Bunuel wrote: The price of a phone call consists of a standard connection fee, which is constant, plus a per minute charge. A 10minute call costs $2.90 and a 16minute call costs $4.40. How much does a 13minute call cost?
(A) $3.55 (B) $3.57 (C) $3.58 (D) $3.65 (E) $3.77 Letting f = the standard connection fee and n = the perminute charge, we can create two equations, one for the 10minute call and one for the 16minute call:: f + 10n = 2.90 and f + 16n = 4.40 Subtracting the first equation from the second, we have: 6n = 1.50 n = 0.25 Substituting 0.25 for n into the first equation, we see that f is: f + 2.5 = 2.90 f = 0.4 So a 13minute call costs 0.4 + 13 x 0.25 = $3.65. Alternate solution: If we let m = the perminute charge, x = the number of minutes, b = the standard connection fee, and y = the total cost of an xminute call, we will have y = mx + b. As we can see, this is a line, and the ordered pairs (10, 2.90) and (16, 4.40) are on this line. We are looking for the yvalue when x = 13. We can observe that 13 is exactly halfway between 10 and 16; therefore, the yvalue should be exactly halfway between 2.90 and 4.40 also. Thus y = (2.90 + 4.40)/2 = 7.30/2 = 3.65. Answer: D
_________________
5star rated online GMAT quant self study course See why Target Test Prep is the top rated GMAT quant course on GMAT Club. Read Our Reviews If you find one of my posts helpful, please take a moment to click on the "Kudos" button.



GMATH Teacher
Status: GMATH founder
Joined: 12 Oct 2010
Posts: 935

The price of a phone call consists of a standard connection fee, which
[#permalink]
Show Tags
04 Oct 2018, 06:52
Bunuel wrote: The price of a phone call consists of a standard connection fee, which is constant, plus a per minute charge. A 10minute call costs $2.90 and a 16minute call costs $4.40. How much does a 13minute call cost?
(A) $3.55 (B) $3.57 (C) $3.58 (D) $3.65 (E) $3.77
\(? = f + 13c\,\,\,\,\left[ \$ \right]\) The constant fee (f) and the minutecharge (c) will be considered in CENTS. (Amounts in cents are always integers!) \(\left\{ \matrix{ \,f + 10c = 290 \hfill \cr \,f + 16c = 440 \hfill \cr} \right.\,\,\,\,\,\,\,\,\mathop \Rightarrow \limits^{\left( + \right)} \,\,\,\,\,\,2f + 26c = 290 + 440\,\,\,\,\,\,\mathop \Rightarrow \limits^{{\rm{focus}}\,!} \,\,\,\,\,\,? = {{2f + 26c} \over 2} = 145 + 220 = 365\,\,\,\,\,\,\left[ {\,{\rm{cents}}\,} \right]\) This solution follows the notations and rationale taught in the GMATH method. Regards, Fabio.
_________________
Fabio Skilnik :: GMATH method creator (Math for the GMAT) Our highlevel "quant" preparation starts here: https://gmath.net



GMAT Club Legend
Joined: 12 Sep 2015
Posts: 4009
Location: Canada

Re: The price of a phone call consists of a standard connection fee, which
[#permalink]
Show Tags
10 Jan 2019, 10:40
Bunuel wrote: The price of a phone call consists of a standard connection fee, which is constant, plus a per minute charge. A 10minute call costs $2.90 and a 16minute call costs $4.40. How much does a 13minute call cost?
(A) $3.55 (B) $3.57 (C) $3.58 (D) $3.65 (E) $3.77 Let C = price of connection fee Let M = the price PER MINUTE A 10minute call costs $2.90 We can write: C + 10M = 2.90A 16minute call costs $4.40.We can write: C + 16M = 4.40How much does a 13minute call cost?So far, we have: C + 10M = 2.90C + 16M = 4.40ONE ( slower) approach would be to solve the system for C and M, and then calculate the cost of a 13minute call. The FASTER approach is to recognize that something great happens when we ADD the two equationsWe get: 2C + 26M = 7.30 Now divide both sides by 2 to get: C + 13M = 3.65 Since C + 13M represents the TOTAL cost of a 13minute call, we can conclude that a 13minute call costs $3.65 Answer: D Cheers, Brent
_________________
Test confidently with gmatprepnow.com




Re: The price of a phone call consists of a standard connection fee, which
[#permalink]
10 Jan 2019, 10:40






