1. Share 3200 in the ratio \( 3: 5 \) 2. Increase 108 in the ratio \( 7: 2 \). 3. In a Grade 8 Mathematics class there are 54 learners. If the ratio of boys to girls is \( 5: 4 \). How many girls are there in the class? 4. Divide \( 17,5 \mathrm{~kg} \) in the ratio \( 3: 2 \) 5. Decrease 70 in the ratio \( 3: 5 \). 6. Hloni, Ncese and Serame are 3 brothers aged 45,36 and 18 respectively. Together the three brothers get 8880 pocket money each month. If the total pocket money is split in the same ratio as their ages, how much does each brother receive?

Sure, let's solve each of these ratio problems step by step. --- ### **1. Share 3200 in the ratio \( 3:5 \)** **Step 1:** Calculate the total number of parts. \[ 3 + 5 = 8 \] **Step 2:** Determine the value of one part. \[ \text{Value of one part} = \frac{3200}{8} = 400 \] **Step 3:** Calculate each share. - **First share:** \( 3 \times 400 = 1200 \) - **Second share:** \( 5 \times 400 = 2000 \) **Answer:** The amounts are **1200** and **2000**. --- ### **2. Increase 108 in the ratio \( 7:2 \)** Assuming you want to divide 108 in the ratio \(7:2\) where the sum represents the parts to be increased. **Step 1:** Calculate the total number of parts. \[ 7 + 2 = 9 \] **Step 2:** Determine the value of one part. \[ \text{Value of one part} = \frac{108}{9} = 12 \] **Step 3:** Calculate each amount. - **First part:** \( 7 \times 12 = 84 \) - **Second part:** \( 2 \times 12 = 24 \) **Answer:** The increased amounts are **84** and **24**. --- ### **3. In a Grade 8 Mathematics class there are 54 learners. If the ratio of boys to girls is \( 5:4 \). How many girls are there in the class?** **Step 1:** Calculate the total number of parts. \[ 5 + 4 = 9 \] **Step 2:** Determine the value of one part. \[ \text{Value of one part} = \frac{54}{9} = 6 \] **Step 3:** Calculate the number of girls. \[ 4 \times 6 = 24 \] **Answer:** There are **24 girls** in the class. --- ### **4. Divide \( 17.5 \) kg in the ratio \( 3:2 \)** **Step 1:** Calculate the total number of parts. \[ 3 + 2 = 5 \] **Step 2:** Determine the value of one part. \[ \text{Value of one part} = \frac{17.5}{5} = 3.5 \text{ kg} \] **Step 3:** Calculate each share. - **First share:** \( 3 \times 3.5 = 10.5 \text{ kg} \) - **Second share:** \( 2 \times 3.5 = 7 \text{ kg} \) **Answer:** The amounts are **10.5 kg** and **7 kg**. --- ### **5. Decrease 70 in the ratio \( 3:5 \)** Assuming you want to divide 70 in the ratio \(3:5\), indicating a decrease divided into parts. **Step 1:** Calculate the total number of parts. \[ 3 + 5 = 8 \] **Step 2:** Determine the value of one part. \[ \text{Value of one part} = \frac{70}{8} = 8.75 \] **Step 3:** Calculate each amount. - **First part:** \( 3 \times 8.75 = 26.25 \) - **Second part:** \( 5 \times 8.75 = 43.75 \) **Answer:** The decreased amounts are **26.25** and **43.75**. --- ### **6. Hloni, Ncese, and Serame are 3 brothers aged 45, 36, and 18 respectively. Together the three brothers get 8880 pocket money each month. If the total pocket money is split in the same ratio as their ages, how much does each brother receive?** **Step 1:** Determine the ratio based on ages. \[ \text{Ratio} = 45 : 36 : 18 \] **Step 2:** Simplify the ratio by dividing each by the greatest common divisor (9). \[ \frac{45}{9} : \frac{36}{9} : \frac{18}{9} = 5 : 4 : 2 \] **Step 3:** Calculate the total number of parts. \[ 5 + 4 + 2 = 11 \] **Step 4:** Determine the value of one part. \[ \text{Value of one part} = \frac{8880}{11} = 808 \] **Step 5:** Calculate each brother's share. - **Hloni:** \( 5 \times 808 = 4040 \) - **Ncese:** \( 4 \times 808 = 3232 \) - **Serame:** \( 2 \times 808 = 1616 \) **Answer:** - **Hloni** receives **4040** - **Ncese** receives **3232** - **Serame** receives **1616** --- If you have any further questions or need more assistance, feel free to ask!