Answer :
Final answer:
To find the total number of players on a co-ed soccer team with a boy to girl ratio of 3:2 and 15 boys, we calculate that there are 10 girls. Adding these together gives a total team size of 25 players.
Explanation:
The question asks to find out the total number of players on a co-ed soccer team, knowing that the boy to girl ratio is 3:2 and there are 15 boys on the team. To solve this, we need to understand that ratios provide a relationship between quantities, allowing us to calculate the number of girls and thus the entire team size.
First, let's break down the ratio 3:2, meaning for every 3 boys, there are 2 girls. Since there are 15 boys on the team (a multiple of 3), we divide the number of boys by the boy part of the ratio to find how many times this ratio is represented:
Number of times ratio is represented = 15 boys ÷ 3 = 5 times
Since the ratio is fullfilled 5 times, and the girl part of the ratio is 2, we calculate the number of girls as follows:
Number of girls = 2 (girl part of the ratio) × 5 (times ratio is represented) = 10 girls
Finally, to find the total number of players on the team, we add the number of boys and girls together:
Total number of players = 15 boys + 10 girls = 25 players
The ratio of boy to girl is 3:2. There are 15 boys on the team. The total number of players on the team can be calculated as follows.
[tex]\begin{gathered} \frac{3}{5}\times x=15 \\ \text{where} \\ x=\text{total number of players in the teams} \\ \frac{3x}{5}=15 \\ \text{cross multiply} \\ 3x=15\times5 \\ 3x=75 \\ x=\frac{75}{3} \\ x=25 \end{gathered}[/tex]Total players = 25
