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In the last month Super Tele-Com has offered flat-rate service package

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In the last month Super Tele-Com has offered flat-rate service package  [#permalink]

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New post 22 Mar 2017, 03:38
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Question Stats:

72% (03:13) correct 28% (03:55) wrong based on 112 sessions

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In the last month Super Tele-Com has offered flat-rate service packages on landline telephones, cellular phones and DSL high speed internet to a select group of long-time customers in a particular city. Of this group thirty percent opted to sign up for only one of the three flat-rate packages. While no customers opted to just take flat-rate cell phone and DSL service, 65 people decided to sign up for only flat-rate land line service and one other flat-rate service. If 330 people signed up for some form of flat-rate service, how many people opted to sign up for all three packages?

A. 166
B. 140
C. 98
D. 77
E. 65

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Re: In the last month Super Tele-Com has offered flat-rate service package  [#permalink]

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New post 22 Mar 2017, 04:34
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In the last month Super Tele-Com has offered flat-rate service packages on landline telephones, cellular phones and DSL high speed internet to a select group of long-time customers in a particular city. Of this group thirty percent opted to sign up for only one of the three flat-rate packages. While no customers opted to just take flat-rate cell phone and DSL service, 65 people decided to sign up for only flat-rate land line service and one other flat-rate service. If 330 people signed up for some form of flat-rate service, how many people opted to sign up for all three packages?

A. 166
B. 140
C. 98
D. 77
E. 65

Number of people opting for only Landline package - a
Number of people opting for only Cellular phone package - b
Number of people opting for only DSL package - c
Number of people opting for Landline and Cellular - e
Number of people opting for Landline and DSL - d
Number of people opting for Cellular and DSL - f
Number of people opting for all the three services - g
Total number of people opting to only one service - a+b+c


Total number of people signed up to atleast one service - 330 people
Number of people opting for only one service(a+b+c) - 30% of 330 - 99 people
f=0
d=65 OR e=65

(a+b+c)+d+f+g=330
99+65+0+g=330
g=330-164
g=166

Option A
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Re: In the last month Super Tele-Com has offered flat-rate service package  [#permalink]

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New post 23 Mar 2017, 16:53
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Bunuel wrote:
In the last month Super Tele-Com has offered flat-rate service packages on landline telephones, cellular phones and DSL high speed internet to a select group of long-time customers in a particular city. Of this group thirty percent opted to sign up for only one of the three flat-rate packages. While no customers opted to just take flat-rate cell phone and DSL service, 65 people decided to sign up for only flat-rate land line service and one other flat-rate service. If 330 people signed up for some form of flat-rate service, how many people opted to sign up for all three packages?

A. 166
B. 140
C. 98
D. 77
E. 65


We can create the following equation:

# of people who signed up = # signed up for 1 package + # signed up for 2 packages + # signed up for 3 packages + # signed up for 0 packages

Since 30 percent of the 330 people signed up for only one package, we can say:

# signed up for 1 package = 0.3 x 330 = 99

Since no customers opted to just take flat-rate cell phone and DSL service and 65 people decided to sign up for only flat-rate landline service and one other flat-rate service, we can say:

# signed up for 2 packages = 65

Since all 330 people signed up for some form of flat-rate service, we can say:

# signed up for 0 packages = 0

Finally we can let T = # signed up for 3 packages and create the following equation to determine T:

330 = 0.3(330) + 65 + T + 0

330 = 99 + 65 + T

330 = 164 + T

166 = T

Answer: A
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Re: In the last month Super Tele-Com has offered flat-rate service package  [#permalink]

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New post 27 Jul 2018, 12:53
Hi Bunuel,
I am a little confused by the wording of this question, it says 30% of the longtime customers group opted to sign up for only one package. We are not told how many people are long-time customers.
I am going through the solutions offered and they have assumed that this number is 330. That is, all of the long-time customers signed up for some form of package, but this is never mentioned in the question. Can you please clarify? Thanks.

-Arvind
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Re: In the last month Super Tele-Com has offered flat-rate service package  [#permalink]

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New post 31 Jul 2018, 00:17
I am inclined to agree with Arvind. All the respondents who offered solutions have automatically assumed that all members of the select group signed up but this is not the conclusion you can readily draw the wording of the question. We are told that packages were 'offered' to a 'select group of long-time customers' without specifying the number of customers comprising the group. In the last line of the question, it is stated that 330 customers signed up which implies that maybe not all members of the select group signed up.
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Re: In the last month Super Tele-Com has offered flat-rate service package &nbs [#permalink] 31 Jul 2018, 00:17
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