Question posted by Daniel from the Philippines:

Grade/Level: Grade 5

Question solved by Model Method: the number of the men at the party is 2/9 of the no. of women. There are 91 more women than men. How many people are there at the party?

Answer:

Step 1: Since the number of men is 2/9 of the number of women, the number of women will be 9/9. So, we draw 2 boxes to represent men and 9 boxes to represent women.

Step 2: And it was given that there are 91 more women than men. So, we mark out the 7 additional boxes representing the additional women as "91". Since we want to work out the total number of people at the party, we mark out both the men's and the women's model as the total which is an unknown represented by "?".

From the model,

7 units ----------> 91

1 unit ----------> 91 / 7 = 13

11 units ----------> 11 X 13 = 143

Therefore, there are 143 people at the party.