The ratio of men and women at a party was 5:7 respectively. There were 28 women. Calculate the number of people at party?

Let the number of men be 5x and the number of women be 7x.

Given that there were 28 women, we can set up the equation:

7x = 28
x = 28/7
x = 4

Therefore, the number of men at the party is 5x = 5*4 = 20

The total number of people at the party is the sum of men and women:
Total = 20 (men) + 28 (women) = 48

So, there were 48 people at the party.

1. Find the ratio of men to the total number of people:

5 : (5 + 7) = 5 : 12

2. Calculate the number of men from the ratio:

Number of men = (5/12) x Total number of people

3. Relate the number of women to the total number of people:

Number of women = 28 = (7/12) x Total number of people

4. Equate the two expressions for the total number of people:

(5/12) x Total number of people = (7/12) x Total number of people

5. Solve for the total number of people:

Total number of people = 28 x (12/5) = 84

Therefore, there were 84 people at the party.