7. The ratio of boys to girls in a class is \( 3: 4 \). If there are 16 girls: a. How many boys are there in the class? b. How many children are there in the class? c. What fraction of the class are girls? 8 . The springbok rugby squad consists of 22 players. If 10 players are over 25 years old: a. What is the ratio of over 25 's to under 25 's? b. Write the ratio in its simplest form.

To find the number of boys in the class, we start with the ratio of boys to girls, which is 3:4. Since there are 16 girls, we can set up a proportion. For every 4 girls, there are 3 boys. If we denote the number of boys as \( B \), we have \( \frac{B}{16} = \frac{3}{4} \). Cross-multiplying gives \( 4B = 48 \), so \( B = 12 \). Therefore, there are 12 boys in the class. Now, to find the total number of children in the class, we simply add the number of boys and girls together: \( 12 + 16 = 28 \). Hence, there are 28 children in the class. To determine the fraction of the class that are girls, we take the number of girls (16) over the total number of children (28). Thus, the fraction of the class that are girls is \( \frac{16}{28} \), which simplifies to \( \frac{4}{7} \). --- In rugby history, the Springbok team, representing South Africa, has a rich heritage, being the first nation to win a Rugby World Cup in 1995. The team has also been a platform for significant political changes, symbolizing unity post-apartheid. Rugby squad dynamics are crucial. Managing player ages helps teams strategize their play styles. It's important to blend experience and youthful energy for optimal performance on the field. Maintaining fitness is key for those over 25, but younger players bring agility and speed. Ratio analysis can also be applied in other team sports, such as basketball or soccer, showcasing the need for balance between seasoned and fresh talent.