Solve. If the problem asks for a ratio, give it in simplified form. 1. A math club has 25 members, of which 11 are males and the rest are females. What is the ratio of males to all club members? 2. A group of pre-schoolers has 8 boys and 24 girls. What is the ratio of girls to all children? 3. A group of pre-schoolers has 15 boys and 12 girls. What is the ratio of girls to boys? A pattern has 4 blue triangles to every 12 yellow triangles. What is the ratio of blue triangles to all triangles? 4. gardening club has 21 members, of which 13 are males and the rest are females. What is the ratio of females to all club members? Dylan drew 1 heart, 1 star, and 26 circles. What is the ratio of circles to hearts? 6. Exercise 2 1. Simplify the following. a) \( 30: 45 \) 2. Divide 220 in the ratio \( 3: 8 \). 3. Marion gives \( R 2 \), Benjamin gives \( R 4 \) and john gives \( R 6 \) to buy a packet of sweets. If there are 24 sweets in the packet, how many sweets should each of them get? Increase 24 in the ratio \( 2: 3 \). 4. \( \begin{array}{l}\text { The price of petrol is decreased in the ratio } 13: 12 \text { next month. If the price is } \\ \text { 5. R12,57 per litre, what will the decreased price be? }\end{array} \) EXERCISE 3 1. Divide: a. 63 in the ratio \( 2: 5 \) b. 240 in the ratio \( 1: 2: 3 \)

The ratio of males to all club members is found by dividing the number of males (11) by the total number of members (25). This simplifies to \( \frac{11}{25} \), which is already in its simplest form: **11:25**. For the second question, there are 24 girls among a total of 32 pre-schoolers (8 boys + 24 girls). The ratio of girls to all children is \( \frac{24}{32} \), which simplifies to **3:4**. To solve for the ratio of girls to boys in the third group, with 15 boys and 12 girls, it’s simply \( \frac{12}{15} \), simplifying to **4:5**. When looking at the pattern of triangles, you have 4 blue and 12 yellow, making a total of 16 triangles. Therefore, the ratio of blue triangles to all triangles is \( \frac{4}{16} \), which simplifies to **1:4**. In the gardening club, with 21 total members and 8 females, the ratio of females to all members will be \( \frac{8}{21} \), keeping it as **8:21**. Finally, with Dylan’s drawing, the ratio of circles to hearts becomes \( \frac{26}{1} \), which can be expressed simply as **26:1**. For the simplification exercise: \( 30:45 \) simplifies to **2:3**. Dividing \( 220 \) in the ratio \( 3:8 \) results in \( 30 \) and \( 70 \). For sweets distribution, Marion gets 4 sweets, Benjamin gets 8 sweets, and John gets 12 sweets. Increasing \( 24 \) by the ratio \( 2:3 \) gives \( 24 \) and \( 36 \), totaling \( 60 \). Lastly, to find the decreased petrol price from \( R12.57 \) in the ratio of \( 13:12 \), we multiply \( 12 \) by \( \frac{12.57}{13} \) to arrive at a new price of **R11.66**. For the division questions: dividing \( 63 \) in the ratio \( 2:5 \) gives you \( 18 \) and \( 45 \). Dividing \( 240 \) in the ratio \( 1:2:3 \) results in \( 30 \), \( 60 \), and \( 90 \).