Answer: no of women before they walked in is 8.
Step-by-step explanation:
given data:
ratio of men and women = 3:5
when 2 men and 1 woman walks in = 2:3
solution:
no of women in the theatre before they walked in
men/women= 3/2,
let men =3x............eqn1
women = 2x................eqn2
Total =20
therefore:
[tex]3x+2x=20[/tex]
collect like terms
[tex]5x=20[/tex]
[tex]x=[/tex][tex]\frac{20}{5}[/tex]
[tex]x=4[/tex]
substitute the value gotten for x into equation 1 and 2
[tex]men = 3x= 3(4)=12\\women=2x=2(4)=8[/tex]
