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?
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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
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