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22 Mar 2017, 03:38
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A
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
55%
(hard)
Question Stats:
68% (03:17) correct
32%
(03:24)
wrong
based on 186
sessions
History
Date
Time
Result
Not Attempted Yet
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
A. 166
B. 140
C. 98
D. 77
E. 65
22 Mar 2017, 04:34
Kudos
Bookmarks
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
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
23 Mar 2017, 16:53
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Bunuel
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
