Final answer:
To find the number of women at the game, we use the ratio 9:5, set up a proportion with 2,250 men, and solve for x, resulting in 1,250 women at the game.
Step-by-step explanation:
The student's question is about finding the number of women at a soccer game given the ratio of men to women and the total number of men. We are told that the ratio of men to women is 9 to 5 and that there were 2,250 men at the game. To find the number of women, we can set up a proportion where 9 corresponds to the number of men (2,250) and 5 corresponds to the number of women (x).
The proportion is 9/5 = 2,250/x. To solve for x, we cross-multiply and divide as follows:
9x = 5 × 2,250
x = (5 × 2,250) / 9
x = 11,250 / 9
x = 1,250
Therefore, there were 1,250 women at the soccer game, which corresponds to option A in the student's question choices.