Question

A committee has 45 members. The number of men on the committee is 6 less than twice the number of women

(w). Which equation could be used to find the number of women on the committee?​

Answer 1

2w - 6 = 45

Explanation:

Answer 2

There are 17 women on the committee.

Explanation:

1. Let´s name the variables as follows:

w = number of women on the committee

m = number of men on the committee

2. As the committee has 45 members, the first equation will be:

`w+m=45` (Eq.1)

3. As the number of men on the committee is 6 less than twice the number of women, it can be expressed as:

`m=2w-6` (Eq.2)

4. Replacing Eq.2 in Eq.1, we have:

`w+2w-6=45`

5. Solving for w, we can find the number of women on the committee:

`3w-6=45`

`3w=45+6`

`3w=51`

`w=(51)/(3)`

w=17

Therefore there are 17 women on the committee.