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

Answer:

2w − 6

Step-by-step explanation:

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Answer 2

m=(2xw)-6

Step-by-step 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 $2\times m$

Twice the number less six is $m=2\times w -6$                  $-(i)$

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),

$2\times w-6+w=45$

$3\times w-6=45\\3\times w=51\\w=17$

$So,m=2\times 17 -6\\m=28$