The average age of women and child workers in | vedclass

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Question

(D) Let the number of unmarried women workers be $x$.Total number of children = $16$.Average age of children = $8 	ext{ years}$.Total age of children

Vedclass · Accepted Answer

$6$

Vedclass · Answer

(D) Let the number of unmarried women workers be $x$.Total number of children = $16$.Average age of children = $8 	ext{ years}$.Total age of children = $16 	imes 8 = 128 	ext{ years}$.Let the number of women workers be $W = 10 + x$.Average age of women workers = $22 	ext{ years}$.Total age of women workers = $22(10 + x) = 220 + 22x$.Total number of workers = $16 + (10 + x) = 26 + x$.The average age of all workers is $15 	ext{ years}$.Therefore,$\frac{128 + 220 + 22x}{26 + x} = 15$.$348 + 22x = 15(26 + x)$.$348 + 22x = 390 + 15x$.$22x - 15x = 390 - 348$.$7x = 42$.$x = 6$.Thus,the number of unmarried women workers is $6$.

The average age of women and child workers in a factory was $15 \text{ years}$. The average age of all the $16$ children was $8 \text{ years}$ and the average age of women workers was $22 \text{ years}$. If $10$ women workers were married,then the number of unmarried women workers is:

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