Question

In a company, the ratio of management to workers is 1:9. if 2/3 of the workers are female, and 1/4 of the management are female, then what fraction of the combined management and worker compliment are female?

Answer 1

Answer:

5/8

Step-by-step explanation:

Management= m, Workers= w

We have ratio of management to workers:

• m/w=1/9 => w=9m

Number of females:

• w*2/3+1/4*m

Total people

• m+w= m+9m=10m

Total female

• 2w/3+m/4= 2*9m/3+m/4=6m+m/4= 25/4m

Required fraction:

• 25/4m : 10m= 25/40= 5/8

Answer: 5/8 of total personnel are female