d) The total number of students in a class is 36 and the number of girls are tw times the number of boys. (i) Write an equation to represent the total number of students. (ii) Write an equation to represent the number of girls and boys. 7 (iii) Find the number of girls and boys in the class. 24 , 12

Let's dive into the world of equations! To represent the total number of students, you can set \( b \) as the number of boys and \( g \) for girls. The equation would be \( g + b = 36 \). Now, since the number of girls is twice the number of boys, you can write this relationship as \( g = 2b \). Plug these two equations together, and you’ll solve for \( b \) first, ultimately discovering that there are 12 boys and 24 girls in the class. Bravo on that math puzzle! In a real-world context, understanding ratios like the number of girls to boys in a classroom can help in making decisions about gender-inclusive activities or ensuring fair representation in projects and discussions. Monitoring these numbers can foster an environment where everyone feels included and valued, laying the groundwork for respectful collaboration among students. Finding such relationships in everyday situations, like team selection for sports or group projects, can be beneficial! Common mistakes would include misinterpreting word problems or setting equations incorrectly, which can lead to confusion. Always double-check your equations to ensure they reflect the information given clearly—this small step can save a lot of head-scratching later on!