Subjects arithmetic

Unit Price Time 43Cca0

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1. **Problem 1: Find the unit price when purchasing 3 cans of soup for 2.42** We want to find the price for 1 can when 3 cans cost 2.42. Formula: $$\text{Unit price} = \frac{\text{Total price}}{\text{Number of items}}$$ 2. Substitute the values: $$\text{Unit price} = \frac{2.42}{3}$$ 3. Simplify the fraction: $$\text{Unit price} = \frac{\cancel{2.42}}{\cancel{3}} = 0.806666...$$ 4. Convert to cents: $$0.806666... \times 100 = 80.67 \text{ cents}$$ 5. Round to the nearest cent: $$81 \text{ cents}$$ **Answer for Problem 1:** 81 cents --- 1. **Problem 2: Find the time to travel 80 km if 50 km takes 40 minutes** We want to find the time for 80 km at the same speed. Formula: $$\text{Time} = \frac{\text{Distance}}{\text{Speed}}$$ Speed is distance over time: $$\text{Speed} = \frac{50 \text{ km}}{40 \text{ min}} = 1.25 \text{ km/min}$$ 2. Calculate time for 80 km: $$\text{Time} = \frac{80 \text{ km}}{1.25 \text{ km/min}}$$ 3. Simplify: $$\text{Time} = \frac{\cancel{80}}{\cancel{1.25}} = 64 \text{ minutes}$$ **Answer for Problem 2:** 64 minutes