Question

84% of the workers in a factory are males. if the number of females is272,find the total number of workers in the factory.​

Answer 1

Given :

• 84% of the workers in a factory are males.
• The number of females is 272.

$\:$

To Find :

• The total number of workers in the factory.

$\:$

Solution :

Here's given that 84% of the workers in a factory are males, so (100 - 84)% = 16% are female workers.

Now,

✰ Finding the number of male workers :

➠ $\sf{16\% = 272}$

➠ $\sf{1\% = \Large\frac{272}{16} }$

➠ $\sf{84\% = \Large\frac{ \cancel{272}^{ \: 17}}{ \cancel{16}_{ \: 1} } \small × 84}$

➠ $\sf{84\% = 17 × 84}$

➠ $\sf{84\% = 1428}$

Hence, the number of male workers is 1428.

✰ Finding total number of workers in the factory :

➪ Total workers = Male workers + Female workers

➪ $\mathfrak{Total \: workers = 1428 + 272}$

➪ $\mathfrak{Total \: workers = 1700}$

Hence, the total number of workers in the factory is 1700.