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A certain telephone company offers two plans, A and B. Under [#permalink]
 30 Jan 2012, 02:19
Question Stats:
80% (02:27) correct
20% (01:35) wrong based on 40 sessions
A certain telephone company offers two plans, A and B. Under plan A, the company charges a total of $0.60 for the first 7 minutes of each call and $0.06 per minute thereafter. Under plan B, the company charges $0.08 per minute of each call. What is the duration of a call, in minutes, for which the company charges the same amount under plan A and under plan B? A. 2 B. 9 C. 15 D. 21 E. 30
Last edited by Bunuel on 21 Mar 2012, 12:31, edited 4 times in total.
Edited the question
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Re: Word translation [#permalink]
30 Jan 2012, 02:30
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A certain telephone company offers two plans, A and B. Under plan A, the company charges a total of $0.60 for the first 7 minutes of each call and $0.06 per minute thereafter. Under plan B, the company charges $0.08 per minute of each call. What is the duration of a call, in minutes, for which the company charges the same amount under plan A and under plan B? A. 2 B. 9 C. 15 D. 21 E. 30 Let the duration, in minutes, for which the company charges the same under plan A and plan B be t minutes. Then under plan A the cost would be $0.6+0.06(t-7) and under plan B the cost would be $0.08t. We want these amount to be equal: 0.6+0.06(t-7)=0.08t --> 60+6(t-7)=8t --> t=9. Answer: B. Hope it's clear.
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Re: A certain telephone company offers two plans, A and B. Under [#permalink]
30 Jan 2012, 02:55
Thank you very much... I charged 0,6 for each of the first 7 minutes 
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Re: A certain telephone company offers two plans, A and B. Under [#permalink]
30 Jan 2012, 03:28
First 7 Minutes cost 0,6 cent regardless how long you pick up the phone (for Plan A). For every minute after it costs 0.06 cent
For each minute you call with Plan B it costs 0,08$
When is Plan A = Plan B
A: 0,6 + 0,06*(t - 7)
B: 0,08*t
--> 0,6 + 0,06*(t - 7) = 0,08*t
t = 9
Answer B
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Re: A certain telephone company offers two plans, A and B. Under [#permalink]
30 Jan 2012, 08:49
0.08*t = 0.06*(t - 7)+0.6
t=9
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Re: A certain telephone company offers two plans, A and B. Under [#permalink]
30 Jan 2012, 09:19
I saw this one recently as well, and was also getting the wrong number. I managed to correct it within the allotted time, and got t=9, B.
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Re: A certain telephone company offers two plans, A and B. Under [#permalink]
30 Jan 2012, 16:18
why dont we write this equation like this:
number of minutes be X
0.6(7)+0.06(x-7)=0.08(x). whats wrong with this equation.
according to manhattann word translation guide
Ex: pay $10 for the first 2 CDs then $7 per additional CD.
N is number of CDs bought.
10*2+7(n-2)=T.C
what is the difference
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Re: A certain telephone company offers two plans, A and B. Under [#permalink]
30 Jan 2012, 16:44
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Re: A certain telephone company offers two plans, A and B. Under [#permalink]
30 Jan 2012, 21:44
Thank you very much bunnel. I got it. I need to concentrate more on wording of the problem
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Re: A certain telephone company offers two plans, A and B. Under [#permalink]
02 Feb 2012, 11:20
+1 B The equation to solve this question is: 0.6 + 0.06(x-7) = 0.08xTo make it easy, we can express it in this way: 60 + 6(x-7) = 8xx = 9ANSWER: B
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Re: A certain telephone company offers two plans, A and B. Under [#permalink]
21 Mar 2012, 14:20
Duration be x
0.08x = 0.60 + 0.06(x-7)
0.08x = 0.60 + 0.06x - 0.42
0.02x = 0.18
x = 9
Ans: B
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Re: A certain telephone company offers two plans, A and B. Under [#permalink]
26 Mar 2012, 01:08
I think backsolving here would be a faster method than actually jotting down the equations.
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Re: A certain telephone company offers two plans, A and B. Under [#permalink]
31 May 2013, 06:23
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Re: A certain telephone company offers two plans, A and B. Under [#permalink]
02 Jun 2013, 13:26
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Let the total duration of the call be x minutes.
Plan A = 0.60 + 0.06(x-7)
Plan B = 0.08x
Since both the amounts charged are equal, 0.60 + 0.06(x-7) = 0.08x
-0.02x = -0.18
Hence x = 9 minutes
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Re: A certain telephone company offers two plans, A and B. Under
[#permalink]
02 Jun 2013, 13:26
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