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19 Dec 2016, 05:34
Kudos
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C
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Difficulty:
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91% (01:14) correct
9%
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wrong
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How many of the employees at McIntyre Elementary School are vegetarians that drive hybrid gas-electric automobiles?
(1) Teachers account for 80% of the 40 employees.
(2) Half of all teachers are vegetarians and drive hybrid cars, exactly twice the number of other employees that do both.
(1) Teachers account for 80% of the 40 employees.
(2) Half of all teachers are vegetarians and drive hybrid cars, exactly twice the number of other employees that do both.
statement 1: number of the teachers= 32
number of other employees=8
Statement 1 does not discuss anything about the employees who are vegetarians that drive hybrid gas-electric automobiles; not sufficient
Statement 2: 1. Half of all teachers are vegetarians and drive hybrid cars
2. number of teachers who are vegetarians and drive hybrid cars = 2 * number of other employees who are vegetarians and drive hybrid cars
since we are not given any number, we can not calculate any value based on one relationship; not sufficient
Combining both : number of teachers=32
Half of all teachers are vegetarians and drive hybrid cars
number of teachers who are vegetarians and drive hybrid cars= 16
number of teachers who are vegetarians and drive hybrid cars = 2 * number of other employees who are vegetarians and drive hybrid cars
number of other employees who are vegetarians and drive hybrid cars=16/2=8
the number of the employees who are vegetarians that drive hybrid gas-electric automobiles= 16+8
=24
Sufficient, Correct answer is C
+1 Kudos if you like the post
number of other employees=8
Statement 1 does not discuss anything about the employees who are vegetarians that drive hybrid gas-electric automobiles; not sufficient
Statement 2: 1. Half of all teachers are vegetarians and drive hybrid cars
2. number of teachers who are vegetarians and drive hybrid cars = 2 * number of other employees who are vegetarians and drive hybrid cars
since we are not given any number, we can not calculate any value based on one relationship; not sufficient
Combining both : number of teachers=32
Half of all teachers are vegetarians and drive hybrid cars
number of teachers who are vegetarians and drive hybrid cars= 16
number of teachers who are vegetarians and drive hybrid cars = 2 * number of other employees who are vegetarians and drive hybrid cars
number of other employees who are vegetarians and drive hybrid cars=16/2=8
the number of the employees who are vegetarians that drive hybrid gas-electric automobiles= 16+8
=24
Sufficient, Correct answer is C
+1 Kudos if you like the post
19 Dec 2016, 07:29
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Bunuel
(1) Teachers account for 80% of the 40 employees.
We don’t have any information about preferences of those teachers. Insufficient.
(2) Half of all teachers are vegetarians and drive hybrid cars, exactly twice the number of other employees that do both.
Let’s denote # of teachers as T, and # of other employees as O.
Teachers who drive cars and are vegetarians = 1/2*T
Other employees who do both 1/2T=2Y, Y=1/4T
People who drive hybrid cars and are vegetarians at the same time will compose our intersection of two sets of T and O = 1/2T + 1/4T = 3/4T.
We have our intersection expressed through the number of teachers T, but we have no information about T. Insufficient.
(1)&(2) together: In order to solve (2) all that we need is # of teacher and that is provided by (1). Sufficient.
Answer D
