Hello M7MBA.

Let's take a look at your question.

Since it says 4 women more, it implies that W=M+4 (M=W-4).

The case that you wrote is when is 4 times.

Now, since there are 10 members on the board, we have that

10 = M + W = W-4+W = 2W-4 -------------- 2W = 14 -------- W=7.

Hence, the correct answer is the option [spoiler]D=7[/spoiler].

I hope this answer can help you.

Feel free to ask me again if you have a doubt.

Regards.

M7MBA wrote:There are 4 more women than men on Centerville's board of education. If there are 10 members on the board, how many are women?

(A) 3
(B) 4
(C) 6
(D) 7
(E) 8

We can solve the problem by setting up a few equations. First let's define some variables.

m = number of men on the board

w = number of women on the board

We are given that there are 4 more women than men on the board. Let's express this in an equation.

w = m + 4

We are also given that there are a total of 10 members on the board. Let's express this in an equation.

m + w = 10

Since w = m + 4, we can substitute m + 4 for w into the equation m + w = 10 and we have:

m + m + 4 = 10

2m = 6

m = 3

Since w = m + 4 and m = 3, thus w = 3 + 4 = 7.

Alternate Solution:

Letting x = the number of men, we see that the number of women is x + 4. Thus, we have:

x + x + 4 = 10

2x + 4 = 10

2x = 6

x = 3

Thus, the number of women is 3 + 4 = 7.

Answer: D