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What is the ratio of the number of females in the Production department to the number of males in the Marketing department?

  • A.2:3
  • B.7:6
  • C.4:3
  • D.3:4

Answer: B

Correct answer: 7:6

The IT department is 22% of the workforce and holds 990 people, so the total is \(\tfrac{990}{0.22} = 4500\).

Females in Production. The department is 28% of 4500, or 1260, split 11:7 over 18 parts of 70:

\[\frac{7}{18} \times 1260 = 490\]

Males in Marketing. The department is 20% of 4500, or 900, split 7:8 over 15 parts of 60:

\[\frac{7}{15} \times 900 = 420\]

\[490 : 420 = 49 : 42 = 7 : 6\]

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