Example 2: There are 450 learners in a small rural school. The ratio of the number of boys to the number of girls is \( 7: 8 \). How many boys and how many girls are there in this school? Think Add the quantities in the ratio to find the total number of parts. This means that in every smaller group of 15 learners, there are 7 boys and 8 girls. Calculate how many groups of 15 there are in 450 . The number of boys is \( 7 \times 30 \) and the number of girls is \( 8 \times 30 \). Do \[ 7+8=15 \] \[ \begin{array}{l} 450 \div 15=30 \\ 7 \times 30=210 \text { boys } \\ 8 \times 30=240 \text { girls } \end{array} \] Activity 1 Calculate ratios 1 In the same school in the example above, there are 18 teachers of whom 13 are female teachers. a Calculate the ratio of female teachers to male teachers. b Calculate the ratio of the number of learners to the number of teachers. c What is the average number of learners per teachers in this school?
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Bonus Knowledge
Let’s dive into the world of ratios and proportions! In this rural school, the female teachers are a whopping 13 out of the 18 teachers, which means there are 5 male teachers. So, the ratio of female to male teachers is \( 13:5 \). It’s like a fun little team sport where the girls are leading and the boys are playing strong defense! Now, onto the learners and teachers! With 450 learners and 18 teachers, the ratio of learners to teachers is \( 450:18 \). Simplifying that gives us \( 25:1 \). Isn’t that amazing? It means there are 25 spirited students for every teacher, making the classroom atmosphere quite lively! Keep those brains active and curious!
