In an office, ratio between male and female employees is $13 : 7$ . If the number of female employees is 98, find the number of male employees as well as the number of total employees in the office.

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Solution

Step1: Calculation of the number of male employees:
Let the number of male employees be $x$ . Then the corresponding proportional is $13 : 7 : : x : 98$ .
$\Rightarrow 13 : 7 = x : 98 (C h a n g i n g t h e p r o p o r t i o n a l i t y s i g n i n t o e q u a l s i g n) \Rightarrow \frac{13}{7} = \frac{x}{98} \Rightarrow 7 \cdot x = 13 \cdot 98 (C r o s s m u l t i p l y i n g b o t h s i d e s) \Rightarrow x = \frac{13 \cdot 98}{7} (D i v i d i n g b o t h s i d e s b y 7) ∴ x = 182$
Step2: Calculation of the total number of employees:
The total number of employees is the sum of the number of male and female employees.
$\Rightarrow 182 + 98 = 280$
Final Answer: The number of male employees is 182 and the total number of employees is 280.

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In an office, ratio between male and female employees is 13:7. If the number of female employees is 98, find the number of male employees as well as the number of total employees in the office.

In an office, ratio between male and female employees is $13 : 7$ . If the number of female employees is 98, find the number of male employees as well as the number of total employees in the office.