Question

the employees of a company have different hobbies.

• 14 men who like playing golf
• 6 women who like playing golf
• 2 men who like running
• 18 women who like running

which of the following statements is correct?
○ a. for every man who likes running, 7 men like playing golf.
○ b. for every woman who likes running, 9 women like playing golf.
○ c. for every man who likes running, 3 men like playing golf.
○ d. for every woman who likes running, 7 women like playing golf.

Explanation:

Step1: Analyze Option A

Number of men who like running = 2, number of men who like golf = 14.
The ratio of men who like golf to men who like running is $\frac{14}{2}=7$.

Step2: Analyze Option B

Number of women who like running = 18, number of women who like golf = 6.
The ratio of women who like golf to women who like running is $\frac{6}{18}=\frac{1}{3}
eq9$.

Step3: Analyze Option C

As calculated in Step1, ratio is 7 not 3.

Step4: Analyze Option D

As calculated in Step2, ratio is $\frac{1}{3}$ not 7.

Answer:

A. For every man who likes running, 7 men like playing golf.