Question

The ratio of the number of female employees to the number of male employees in an office is 4 : 7.In another office this ratio is 7 : 11. Which office has a higher number of female employees?​

Answer 1

AnSwEr:-

Office b has more number of women employees.

ExplaNatiOn:-

$\frac{4}{7}=\frac{7}{11}$

LCM of 7and 11 will be=

77

so,

$\frac{4}{7}*\frac{11}{11}=\frac{7}{11}*\frac{7}{7}$

$\frac{44}{77}=\frac{49}{77}$

so,

number of women employee in office A:-

44

number of women employee in Office B:-

49

Answer 2

Hi,
Here is the solution
____________________❤️❤️

⭐ratio of employees in 1st office
==> 4x : 7x

⭐ratio of employees in 2nd office
==> 7x :4x

Now,
==> 4:7 = 4/7
==> 7:4 = 7/4

$\frac{4x}{7x} \times \frac{7x}{4x} \\ \\ 4x \times 4x = 7x \times 7x \\ \\ 16x < 49x$
Hence,
The number of female employees is more in 2nd office.