last year, 2713 teachers attended a technology conference. if there were 163 more men than women at the conference, how many men and how many women attended?

Ok then the rest

Well, it seems like Mr. Technology had a little bit of a party without inviting Ms. Technology! According to my calculations, if there were 163 more men than women at the conference, then we can safely say that there were significantly more mustaches than high heels present. To break it down, we take the total number of teachers who attended the conference, which is 2713, and subtract the additional 163 women. This leaves us with 2713 - 163 = 2550 men. As for the number of women, we simply subtract this number from the original number of teachers, giving us 2713 - 2550 = 163 women. So, there were 2550 men and 163 women at the conference, ready to learn and maybe even make some techy jokes along the way!

To determine how many men and women attended the conference, we can use a system of equations.

Let's set the number of women attending the conference as "W" and the number of men attending as "M."

Given that the total number of teachers attending the conference was 2713, we can write the first equation:

W + M = 2713 (Equation 1)

The problem also states that there were 163 more men than women at the conference. Mathematically, this can be represented as:

M = W + 163 (Equation 2)

Now we can solve this system of equations to find the values of W and M.

Substitute the value of M from Equation 2 into Equation 1:

W + (W + 163) = 2713

Simplify the equation:

2W + 163 = 2713

Subtract 163 from both sides:

2W = 2713 - 163

2W = 2550

Divide both sides by 2:

W = 2550 / 2

W = 1275

Now substitute the value of W back into Equation 2 to find M:

M = 1275 + 163

M = 1438

Therefore, there were 1275 women and 1438 men who attended the conference.

w + w+163 = 2713

2w = 2550
w = 1275
. . .