In a certain office, 1/3 of workers are women, 1/2 of the women are married and 1/3 of the married women have children. If 3/4 of the men are married and 2/3 of the married men have children, what part of the workers are without children?Options 4/95/1811/1817/36
Question
In a certain office, 1/3 of workers are women, 1/2 of the women are married and 1/3 of the married women have children. If 3/4 of the men are married and 2/3 of the married men have children, what part of the workers are without children?Options 4/95/1811/1817/36
Solution
Let's break down the problem step by step.
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Let the total number of workers be .
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The number of women workers is .
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The number of married women is .
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The number of married women with children is .
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The number of women without children is .
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The number of men workers is .
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The number of married men is .
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The number of married men with children is .
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The number of men without children is .
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The total number of workers without children is .
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Convert to a common denominator of 18: .
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Add the fractions: .
Therefore, the part of the workers without children is .
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