**Title: Solving Ratio and Production Puzzles: Grade 5 Learners and Bread Machinery**

Let's solve each question step-by-step: --- ### **Question 1: Ratio of Boys to Girls** > **The ratio of boys to girls in the Grade 5 classes at Manaileng Primary school is 3:5. If there are 280 Grade 3 learners, how many are boys?** **First, let's clarify: The question mentions Grade 5 but then says there are 280 Grade 3 learners. We'll assume the ratio applies to these 280 learners.** - The total parts in the ratio is \( 3 + 5 = 8 \) - Number of boys = \( \frac{3}{8} \times 280 = \frac{3 \times 280}{8} = \frac{840}{8} = 105 \) **Answer:** **d. 105** --- ### **Question 2: Bread Machine** > **A machine can produce 10 loaves of bread in 2 minutes. How many loaves can the machine produce in 1.5 hours?** - First, find out how many loaves per minute: \( \frac{10\, \text{loaves}}{2\, \text{minutes}} = 5\, \text{loaves per minute} \) - 1.5 hours = 90 minutes - So in 90 minutes: \( 90 \text{ minutes} \times 5 \text{ loaves/minute} = 450 \text{ loaves} \) **Answer:** **d. 450 loaves** --- #### **Summary of answers:** 1. **d. 105** 2. **d. 450 loaves**