Question

if 45% of the workers of a factory are females and the number of male workers is 396, find the total number of workers in the factory.​

Answer 1

Answer:

720 workers

Step-by-step explanation:

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Answer 2

GivEn :

45% are women

396 are male workers

To find :

Total number of workers = ??

AnswEr :

Let total % of members be 100

${\ {\boxed{\sf{Total\: members = Women\% - men \%}}}}$

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$\sf :\implies\: { 100 = 45 - men's \%}$

$\sf :\implies\: { men's \% = 100 - 45}:$

$\sf :\implies\: { men's \% = 55\%}:$

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Let total no. of workers be x.

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$\sf :\implies\: { 55\% of x = 396}$

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$\sf :\implies\: { \dfrac{55}{100}\times x = 396}:$

$\sf :\implies\: { x = \dfrac{396\times 100}{55}}:$

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$\sf :\implies\: { x =\dfrac{ 396\times 20}{11}}:$

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$\sf :\implies\: { x = 36 \times 20}:$

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$\sf :\implies\: {\bold{ x = 720}}</p><p>$

Therefore,

Total no. of workers in the factory are 720