Final answer:
A coed soccer team requires at least 1/3 of the players to be women. With only 3 women available, the total team size must be 9 players, resulting in 6 men being able to play on the team.
Step-by-step explanation:
The question asks us to determine how many men can play on a coed soccer team given the rule that at least 1/3 of the players on the field must be women, and only 3 women are available to play.
To solve this, we shall set up a proportion, considering that the number of women (W) is fixed at 3, and W must be at least 1/3 of the total number of players (P), so we have the equation W = 1/3 P.
Since the number of women W is 3, replacing W in the equation gives us 3 = 1/3 P.
To find the total number of players P, we can multiply both sides of the equation by 3, giving us P = 9.
This means there must be 9 players on the field.
With 3 being women, we subtract the 3 women from the total to find the number of men: 9 - 3 = 6 men can play.