Within a manufacturing plant, the average age of female and child workers combined was 15 years. The 16 children averaged 8 years of age and the female staff averaged 22 years. If ten female workers were married, how many unmarried female workers remained________?
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Answer: D. 6
Explanation
Weighted averages separate the combined ages of children and female workers within the manufacturing plant. Isolating the total female staff count allows subtracting the ten married female workers. Completing the subgroup calculation confirms that six unmarried female workers remained on staff. Workforce demographic analysis uses average age statistics to study labor force characteristics. Subgroup populations can be isolated from combined group averages using simultaneous equations. Subtracting known subset counts from total group totals determines remaining category sizes.
Human resources departments track workforce demographics to plan employee benefits and family support programs. Industrial sociologists study employment patterns and marital status distributions within manufacturing sectors. Understanding mixed-group averages is crucial for analyzing complex organizational census data. Option A suggests sixteen workers which ignores the subgroup separation constraints entirely. Option B suggests twelve workers which overestimates the remaining unmarried staff count. Option C suggests eight workers which fails to balance the age distribution equations.
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- Mathematics
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- Mathematics
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