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A certain telephone company offers two plans, A and B. Under

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A certain telephone company offers two plans, A and B. Under  [#permalink]

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New post Updated on: 21 Mar 2012, 12:31
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A
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Question Stats:

69% (02:12) correct 31% (02:16) wrong based on 613 sessions

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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

Originally posted by Murmeltier on 30 Jan 2012, 02:19.
Last edited by Bunuel on 21 Mar 2012, 12:31, edited 4 times in total.
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Re: Word translation  [#permalink]

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New post 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]

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New post 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]

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New post 30 Jan 2012, 16:44
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1
TomB wrote:
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


The red part is wrong because the company charges a total of $0.60 for the first 7 minutes and not $0.60 per each minute of the first 7 minutes.

In your example I guess it's meant that $10 are paid for each of the first 2 CD's.

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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New post 02 Jun 2013, 13:26
1
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]

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New post 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
0.6-0.56=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
0.08-0.06=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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New post 07 Jul 2014, 21:31
Solved by plugging-in 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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New post 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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Re: A certain telephone company offers two plans, A and B. Under  [#permalink]

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New post 24 Nov 2018, 17:10
Hi All,

We're told that 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. We're asked for the duration of a call, in minutes, for which the company charges the SAME amount under plan A and under plan B. This question can be solved in a couple of different ways, including by TESTing THE ANSWERS.

Since Plan A charges a fixed amount for the first 7 minutes, while Plan B charges a higher per-minute rate (8 cents vs. 6 cents), and those numbers are all relatively small, it's likely that the correct answer will be relatively small. Let's TEST Answer B first.

Answer B: 9 minutes
Plan A = $0.60 for the first 7 minutes + ($0.06)(2 extra minutes) = $0.60 + $0.12 = $0.72
Plan B = ($0.08)(9 minutes) = $0.72
These two totals are the same, so this must be the answer.

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Re: A certain telephone company offers two plans, A and B. Under  [#permalink]

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Re: A certain telephone company offers two plans, A and B. Under   [#permalink] 10 Oct 2019, 04:04
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