Answer:
There are 17 women on the committee.
Step-by-step 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:
[tex]w+m=45[/tex] (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:
[tex]m=2w-6[/tex] (Eq.2)
4. Replacing Eq.2 in Eq.1, we have:
[tex]w+2w-6=45[/tex]
5. Solving for w, we can find the number of women on the committee:
[tex]3w-6=45[/tex]
[tex]3w=45+6[/tex]
[tex]3w=51[/tex]
[tex]w=\frac{51}{3}[/tex]
w=17
Therefore there are 17 women on the committee.
