Subjects ratio and proportion

Baking Loaves

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Baking Loaves


1. **Stating the problem:** A baker bakes 800 loaves of bread in 8 hours. We want to find out how many loaves the baker can make in 20 days. 2. **Understanding the problem:** We assume the baker works the same number of hours each day. To solve this, we use the concept of ratio and proportion. 3. **Step 1: Find the rate of baking per hour.** The baker bakes 800 loaves in 8 hours, so the rate is: $$\text{Rate} = \frac{800 \text{ loaves}}{8 \text{ hours}} = 100 \text{ loaves per hour}$$ 4. **Step 2: Find the total hours worked in 20 days.** Assuming the baker works 8 hours each day: $$\text{Total hours} = 20 \text{ days} \times 8 \text{ hours/day} = 160 \text{ hours}$$ 5. **Step 3: Calculate total loaves baked in 20 days.** Using the rate: $$\text{Total loaves} = 100 \text{ loaves/hour} \times 160 \text{ hours} = 16000 \text{ loaves}$$ **Final answer:** The baker can make **16000** loaves in 20 days.