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A certain telephone company offers two plans, A and B. Under [#permalink]
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30 Jan 2012, 02:19
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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
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Last edited by Bunuel on 21 Mar 2012, 12:31, edited 4 times in total.
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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(t7) and under plan B the cost would be $0.08t. We want these amount to be equal: 0.6+0.06(t7)=0.08t > 60+6(t7)=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]
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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]
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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]
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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]
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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]
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30 Jan 2012, 16:18
why dont we write this equation like this: number of minutes be X
0.6(7)+0.06(x7)=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(n2)=T.C
what is the difference



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Re: A certain telephone company offers two plans, A and B. Under [#permalink]
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30 Jan 2012, 16:44



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Re: A certain telephone company offers two plans, A and B. Under [#permalink]
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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]
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02 Feb 2012, 11:20
+1 B The equation to solve this question is: \(0.6 + 0.06(x7) = 0.08x\) To make it easy, we can express it in this way: \(60 + 6(x7) = 8x\) \(x = 9\) ANSWER: B
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Re: A certain telephone company offers two plans, A and B. Under [#permalink]
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21 Mar 2012, 14:20
Duration be x
0.08x = 0.60 + 0.06(x7) 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]
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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]
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31 May 2013, 06:23



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Re: A certain telephone company offers two plans, A and B. Under [#permalink]
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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(x7)
Plan B = 0.08x
Since both the amounts charged are equal, 0.60 + 0.06(x7) = 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]
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07 Jul 2014, 20:00
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In the first 7 mins: Plan A cost 0.6 Plan B cost 0.08*7=0.56 0.60.56=0.04 < Plan A cost 0.04 more
After 7 mins: Plan A cost 0.06 per min Plan B cost 0.08 per min 0.080.06=0.02 < Plan B will cost 0.02 more per min
To balance the cost between Plan A and B: 0.04=0.02*2
7+2=9 is the answer



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Re: A certain telephone company offers two plans, A and B. Under [#permalink]
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07 Jul 2014, 21:31
Solved by pluggingin the options For 2 Minutes, Plan A = 7; Plan B = 0.16 For 9 Minutes, Plan A = 0.6 + 2* 0.06 = 0.6 + 0.12 = 0.72 Plan B = 0.08 * 9 = 0.72 Answer = B
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Re: A certain telephone company offers two plans, A and B. Under [#permalink]
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02 Mar 2018, 00:24
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



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Re: A certain telephone company offers two plans, A and B. Under [#permalink]
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06 Mar 2018, 08:02
Murmeltier wrote: 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 We can let m = the duration of the call, in minutes, and create the equation: 0.6 + 0.06(m  7) = 0.08m 0.6 + 0.06m  0.42 = 0.08m 0.18 = 0.02m 9 = m Answer: B
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