Questions: The ratio of boys to girls at a track meet is 1 to 8 and there are 24 girls total at the track meet. How many total athletes are at the meet?

Solution Steps

To find the total number of athletes at the track meet, we first determine the number of boys using the given ratio of boys to girls, which is 1 to 8. Since there are 24 girls, we can calculate the number of boys by dividing the number of girls by 8 and then multiplying by 1. Finally, we add the number of boys and girls to get the total number of athletes.

Given the ratio of boys to girls is \( \frac{1}{8} \) and the total number of girls is \( 24 \), we can express the number of boys as follows:

\[ \text{Total Boys} = \frac{1}{8} \times \text{Total Girls} = \frac{1}{8} \times 24 = 3 \]

Now that we have the number of boys, we can find the total number of athletes by adding the number of boys and girls:

\[ \text{Total Athletes} = \text{Total Boys} + \text{Total Girls} = 3 + 24 = 27 \]

Final Answer