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GRE Prep Club Team Member
Joined: 20 Feb 2017
Posts: 2506
Given Kudos: 1055
GPA: 3.39
The table above shows all applicable charges for 2 phone lines, Line 1
[#permalink]
26 Jun 2022, 23:00
26 Jun 2022, 23:00
1
Expert Reply
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A
B
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E
Question Stats:
100% (01:57) correct
0% (00:00) wrong based on 2 sessions
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The table above shows all applicable charges for 2 phone lines, Line 1 and Line 2, under 2 plans, Plan A and Plan B. Both plans require a monthly fee per phone line and Plan B requires an additional onetime Line Activation Fee. If n is the number of months for which the total charges for 2 lines under Plan A are equal to the total charges for 2 lines under Plan B, what is n ?
A. 4
B. 5
C. 8
D. 10
E. 16
Re: The table above shows all applicable charges for 2 phone lines, Line 1
[#permalink]
30 Jun 2022, 07:47
30 Jun 2022, 07:47
Expert Reply
For n months total plan A cost for both the lines:
0+n(40+15)... installation charges are 0 and monthly rent are 40 and 15 respectively.
For n months total plan B cost for both the lines:
50+30+n(35+10)... Note: Installation charges are 50 and 30 respectively and are charged only once well as rent, monthly.
Also given total cost for n months for both the lines are equal for both the plans:
Hence :Both lines, total plan A cost for n months = Both lines, total plan B cost for n months
-> 0+n(40+15)=50+30+n(35+10)
->55n=80+45n
->10n=80
->n=8
Ans C
0+n(40+15)... installation charges are 0 and monthly rent are 40 and 15 respectively.
For n months total plan B cost for both the lines:
50+30+n(35+10)... Note: Installation charges are 50 and 30 respectively and are charged only once well as rent, monthly.
Also given total cost for n months for both the lines are equal for both the plans:
Hence :Both lines, total plan A cost for n months = Both lines, total plan B cost for n months
-> 0+n(40+15)=50+30+n(35+10)
->55n=80+45n
->10n=80
->n=8
Ans C
gmatclubot
Re: The table above shows all applicable charges for 2 phone lines, Line 1 [#permalink]
30 Jun 2022, 07:47
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