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In an office, one-third of the workers are women, half of the women are married, and one-third of the married women have children. If three-fourth of the men are married and one-third of the married men have children, then what is the ratio of married women to married men?
  • a)
    1 : 2
  • b)
    2 : 1
  • c)
    3 : 1
  • d)
    1 : 3
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
In an office, one-third of the workers are women, half of the women ar...
Suppose total number of workers = x
⇒ Number of women workers = x/3
⇒ Number of men workers = 2x/3
⇒ Number of married women = (x/3) × ½ = x/6
⇒ Number of married men = (2x/3) × 3/4 = x/2
∴ Ratio of married women to married men = (x/6) : (x/2) = 1 : 3
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Most Upvoted Answer
In an office, one-third of the workers are women, half of the women ar...
Calculation of the Ratio of Married Women to Married Men:
1. **Total Women in the Office:**
- Since one-third of the workers are women, let's assume there are 100 workers in total.
- Therefore, the number of women in the office = 1/3 * 100 = 33.
2. **Number of Married Women:**
- Half of the women are married, so the number of married women = 1/2 * 33 = 16.5 (which we will round to 17 for simplicity).
3. **Number of Married Women with Children:**
- One-third of the married women have children, so the number of married women with children = 1/3 * 17 = 5.67 (which we will round to 6).
4. **Total Men in the Office:**
- Since one-third of the workers are women, two-thirds are men. Therefore, the number of men in the office = 2/3 * 100 = 66.
5. **Number of Married Men:**
- Three-fourth of the men are married, so the number of married men = 3/4 * 66 = 49.5 (which we will round to 50).
6. **Number of Married Men with Children:**
- One-third of the married men have children, so the number of married men with children = 1/3 * 50 = 16.67 (which we will round to 17).
7. **Ratio of Married Women to Married Men:**
- The ratio of married women to married men = 17 : 50 (rounded from 17 : 50), which simplifies to 1 : 3.
Therefore, the ratio of married women to married men in the office is 1 : 3.
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In an office, one-third of the workers are women, half of the women ar...
Answer ( D ) 1:3
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In an office, one-third of the workers are women, half of the women are married, and one-third of the married women have children. If three-fourth of the men are married and one-third of the married men have children, then what is the ratio of married women to married men?a)1 : 2b)2 : 1c)3 : 1d)1 : 3Correct answer is option 'D'. Can you explain this answer?
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