Carcass wrote:
In a group of 200 workers, 10% of the males smoke, and 49% of the females smoke.
Quantity A |
Quantity B |
Total number of workers who smoke |
59 |
A) Quantity A is greater.
B) Quantity B is greater.
C) The two quantities are equal.
D) The relationship cannot be determined from the information given.
This trick here is to recognize that this is a
real world question, and that the number of smokers must be an
INTEGER.
For example, we can't have 17.4 female smokers.
GIVEN: 49% of the females smoke
If F = the total number of female workers, then the number of female SMOKERS = 49% of F = (49/100)F
This tells us that
F must be a multiple of 100, otherwise, the number of female SMOKERS will not be an INTEGER
For example, 49% of 100 = 49, 49% of 200 = 98, 49% of 300 = 147, etc
Conversely, 49% of 50 = 24.5, 49% of 75 = 36.75, 49% of 60 = 29.4. etc
Since there are 200 workers in TOTAL, the number of females must be either 100 or 200
However, since we're told that 10% of the males smoke, we know that there must be at least 10 male workers.
So, there can't be 200 female workers, which means
there must be 100 female workers.
We now know that there are 100 female workers and 100 male workers.
49% of 100 = 49, so there are 49 female SMOKERS
10% of 100 = 10, so there are 10 male SMOKERS
TOTAL number of SMOKERS = 49 + 10 = 59
Answer: C
Cheers,
Brent