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A squad of 14 players is selected for a mixed football tournament.
The rules state that the ratio of boys to girls per squad must be no greater than 3:2
What is the maximum number of boys that can be selected for the squad?

User Dan Benamy
by
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1 Answer

3 votes

Answer:

Explanation:

The ratio of boys to girls in the squad must be no greater than 3:2. This means that for every 3 boys, there must be at least 2 girls.

Since the total number of players in the squad is 14, we can set up the following equation:

3x + 2y = 14

Where x is the number of boys in the squad, and y is the number of girls in the squad.

To find the maximum number of boys that can be selected for the squad, we need to find the highest possible value of x while still satisfying the equation.

We know that x, the number of boys, is a whole number, so we can start testing values of x by subtracting 2 from both sides and then dividing by 3

x = (14 - 2y)/3

If we start testing values for y and substituting it back into the equation, we'll find that the maximum value for y is 6, and the corresponding value for x is 5.

35 + 26 = 15 = 14

Therefore, the maximum number of boys that can be selected for the squad is 5.

User Tim Bodeit
by
7.9k points
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