5. there are 396 persons in a theater. if the ratio of women to men is 2: 3, and the ratio of men to
children is 1: 2, how many men are in the theater?

The number of men = 108

Step-by-step explanation:

Total person = 396

ratio of women to men = 2:3

ratio of men to children = 1:2=2:4=3:6

Women = 2

Men = 3

Children = 6

Hence,

women+men+children = 2+3+6 = 11

Now finding out the percentage of each

Women = 2/11 * 396

= 792/11

=72

Men = 3/11 * 396

=1188/11

=108

Children = 6/11 *396

=2376/11

=216

Thus the number of men = 108

x = 2

step-by-step explanation:

if sr parallel to ba then the sides bc and ac are in proportion, that is

= ← substitute values

= ( cross- multiply )

27x = 6(4x + 1)

27x = 24x + 6 ( subtract 24x from both sides )

3x = 6 ( divide both sides by 3 )

x = 2

oof

step-by-step explanation: