Question

Eloisa recently had a family reunion with 50 people. The ratio of men to women was 3 to 2. If m represents the number of men and w represents the number of women, which system of equations should be set up to find the number of men who attended the reunion?

a) 50 = m + w, 3m = w
b) 50 = m + w, m = 2w
c) 50 = m + w, 3m = 2w
d) 50 = m + w, 2m = 3w

Answer 1

The correct system of equations to find the number of men who attended the reunion is a) 50 = m + w, 3m = w. We can solve these equations to find the value of m.

Step-by-step explanation:

The correct system of equations to find the number of men who attended the reunion is option a) 50 = m + w, 3m = w.

Let's break it down step by step:

We know that the ratio of men to women is 3 to 2, so we can write this as 3m = 2w.

We also know that there were 50 people at the reunion, so the total number of men and women combined is 50, which can be written as 50 = m + w.

By setting up these two equations, we can solve for the number of men (m). Substituting the value of w from the first equation into the second equation, we get 50 = (3m/2) + m. Solving this equation will give us the number of men who attended the reunion.