M00-02

Question

Among the 750 employees at Massco Corporation, 60% are women, and 90% are non-smokers. If 80% of the smokers are men, what is the number of female non-smokers?

A. 58
B. 240
C. 435
D. 450
E. 780

Bunuel · Answer

Official Solution:

Among the 750 employees at Massco Corporation, 60% are women, and 90% are non-smokers. If 80% of the smokers are men, what is the number of female non-smokers?

A. 58
B. 240
C. 435
D. 450
E. 780

Consider the table below. We need to find the value of the yellow box.
 
 https://gmatclub.com/gmat-practice-tests/resources/import/img/M00-02.png 
 
First, calculate the values of the green boxes, then the values of purple, red, and blue boxes, respectively. Finally, we can easily get the value of the yellow box:
 
We start by determining the number of women based on the given percentage:
  
• Women: 0.6 * 750 = 450
  
Next, we calculate the number of non-smokers:
  
• Non-smokers: 0.9 * 750 = 675
  
Now we can calculate the number of smokers:
  
• Smokers: 750 - 675 = 75
  
Since 80% of smokers are men:
  
• Male smokers: 0.8 * 75 = 60
 
• Female smokers: 75 - 60 = 15
  
Finally, we can determine the number of female non-smokers:
  
• Female non-smokers: 450 - 15 = 435
  
Therefore, there are 435 female non-smokers at Massco Corporation.

Answer: C

aqeelnaqvi10 · Answer

I am confused to see 435 as the answer.

As i understand, among 750 employees 60% are women, that will be 450 women; which leaves 300 men.and if 90% of women are non-smokers that will be 90% of 450 which is 405. 450-405 = 45 women non-somokers; and 45 is 20% of 225, which means 225-45=180 men smokers account for 80% of the smokers

Men= 300, smokers 180, non-smokers 120
Women =450, smokers 45, non-smokers 405
Employees=750(300+450), Smokers 225(45+180), Non-smokers 525 (120+405)

Now smokers+ non-smokers equal to 525+225=750
Men + women =300+450 =750

chetan2u · Answer

Hi,
you are wrongly taking 90% of women to be non smokrs..
overall 90% are non smokers, which means 10% are smokers.. 
or .1*750=75 are smokers..

now 80% of the smokers are men..
.8*75=60..
so female smokers=75-60=15..

female nonsmokers=450-15=435..
HOpe it helps u

Bunuel · Answer

I have edited the question and the solution by adding more details to enhance its clarity. I hope it is now easier to understand.

Elsapaul111 · Answer

60% are women
90% are non smokers -> 10% are smokers
80% of smokers are men -> 80% of 10% i.e 8% are men smokers, and 2% are women smokers.
% of women non smokers is 60%-2%= 58%
No. of women smokers is 58% of 750 = 435

58% = 60%-2%, (10%*6 - 1%*2)-> (75*6 - 7.5*2) = 450-15 = 435.

aliasrepellat · Answer

I like the solution - it’s helpful.

aliasrepellat · Answer

I like the solution - it’s helpful.

M00-02

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