Question

3) A committee has 45 members. The number of men on the committee is 6 less than twice the number of women. Which expression represents the number of men in terms of the number of women (w

Answer 1

2w − 6

Explanation:

usatestprep

Answer 2

m=(2xw)-6

Explanation:

Let the number of women in the committee be
`w`.

Let the number of men in the committee be
`m`.

Since it is given that the number of men are 6 less than twice the number of women,

Twice the number of women is
`2* m`

Twice the number less six is
`m=2* w -6`
`-(i)`

Since it is given that the committee has a total of 45 members,

the total number of men and women is 45.

So,
`m+w=45`
`-(ii)`

using (i) and (ii),

`2* w-6+w=45`

`3* w-6=45\\3* w=51\\w=17`

`So,m=2* 17 -6\\m=28`