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a coed Men and women soccer league requires that at least 1/3 of a team's players on the field must be women only 3 women are available to play how many men can play

User Ramusus
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2 Answers

2 votes

Final answer:

At least 6 men can play in the coed soccer league.

Step-by-step explanation:

To determine how many men can play in the coed soccer league, we need to find the minimum number of women required on the field.

According to the league's requirement, at least 1/3 of the team's players must be women.

Since there are only 3 women available to play, we can calculate the minimum number of players required on the field by multiplying 3 by 3 (the denominator of 1/3).

This gives us 9.

Therefore, at least 9 players, including the 3 women, must be on the field. The remaining players can be men.

So, if we subtract the 3 women from the total required players, we get 9 - 3 = 6.

This means that a minimum of 6 men can play.

User Mikebertiean
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8.6k points
6 votes

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.

User Farrukh Najmi
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7.9k points