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# Telephone company A charges \$ 3.00 for the first minute of any long

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Math Expert
Joined: 02 Sep 2009
Posts: 58381
Telephone company A charges \$ 3.00 for the first minute of any long  [#permalink]

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07 Mar 2019, 00:08
1
1
00:00

Difficulty:

45% (medium)

Question Stats:

67% (02:29) correct 33% (02:26) wrong based on 32 sessions

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Telephone company A charges \$ 3.00 for the first minute of any long distance call and \$ 0.50 for each additional minute. Telephone company B charges \$ 2.00 for the first minute of any long distance call and \$ 0.70 for each additional minute. If the cost of a call lasting x minutes, where x is a positive integer, is \$ 15.00 more with telephone company B than with telephone company A, then what is the value of x?

A. 56

B. 60

C. 77

D. 80

E. 81

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Joined: 18 Aug 2017
Posts: 5008
Location: India
Concentration: Sustainability, Marketing
GPA: 4
WE: Marketing (Energy and Utilities)
Re: Telephone company A charges \$ 3.00 for the first minute of any long  [#permalink]

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07 Mar 2019, 05:21
Bunuel wrote:
Telephone company A charges \$ 3.00 for the first minute of any long distance call and \$ 0.50 for each additional minute. Telephone company B charges \$ 2.00 for the first minute of any long distance call and \$ 0.70 for each additional minute. If the cost of a call lasting x minutes, where x is a positive integer, is \$ 15.00 more with telephone company B than with telephone company A, then what is the value of x?

A. 56

B. 60

C. 77

D. 80

E. 81

The cost of a call lasting x minutes charged by company A: 3 + 0.50 (x-1)
The cost of a call lasting x minutes charged by company B: 2 + 0.70 (x-1)
"The cost of a call lasting x minutes is \$ 15.00 more with telephone company B than with telephone company A" means that we can write:
2 + 0.70 (x-1) - [3 + 0.50 (x-1)] = 15
2 + 0.70x - 0.70 - 3 - 0.50x + 0.50 = 15
0.20x = 16.20
x = 81
IMO E
Re: Telephone company A charges \$ 3.00 for the first minute of any long   [#permalink] 07 Mar 2019, 05:21
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# Telephone company A charges \$ 3.00 for the first minute of any long

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