Final answer:
The number of girls registered at the club as a percentage of the total number of athletes is 40%. The ratio of girls to boys registered at the club is 2:3 after simplifying.
Step-by-step explanation:
To answer the question of how to calculate the percentage of girls registered at the club and the ratio of girls to boys, we first need to know the total number of athletes and the number of girls. Given that there are 120 athletes and 48 of them are girls, we can perform the following calculations:
1. Percentage of Girls
To find the percentage of girls in the club, we use the formula:
Percentage = (Number of girls / Total number of athletes) × 100%
Substituting the numbers we have:
Percentage = (48 / 120) × 100% = 40%
Therefore, the percentage of girls in the club is 40%.
2. Ratio of Girls to Boys
To find the ratio of girls to boys, we subtract the number of girls from the total number of athletes to get the number of boys:
Number of boys = Total number of athletes - Number of girls
Number of boys = 120 - 48 = 72
Now we have the number of girls and the number of boys, so the ratio is:
Ratio of girls to boys = 48 girls : 72 boys
This ratio can be simplified by dividing both numbers by the greatest common divisor which is 24:
Simplified ratio = (48/24) : (72/24) = 2 girls : 3 boys
Therefore, the ratio of girls to boys registered at the club is 2:3.