Question

180 is divided between 66 men and women in such a way that the ratio of money between men and women is 5:4 And men and women deserve 3: 2. How many men were in that team? (a) 40 people (b) 36 people (c) 30 people (d) 15 people​

Answer 1

Answer:

30

Let the number of men be x.

Then, number of women =66−x

Money received by x men =

(5+4)

5

×RS180=RS100

∴ Money received by $$\displaystyle \left ( 66-x \right )women=\left ( 180-100 \right )=Rs\;80\$$

Given,

x

100

:

66−x

80

=3:2⇒

x

100

×

80

66−x

=

2

3

⇒

x

200

=

66−x

240

⇒240x=13200−200x

⇒440x=13200⇒x=

440

13200

=30