1. **Problem:** Suppose you want to buy a product available in three packages: - Package A: 3 items for 12 dollars - Package B: 5 items for 18 dollars - Package C: 10 items for 35 dollars Determine which package offers the best value (lowest price per item). 2. **Step 1:** Calculate the price per item for each package: - Package A: $$\frac{12}{3} = 4$$ dollars per item - Package B: $$\frac{18}{5} = 3.6$$ dollars per item - Package C: $$\frac{35}{10} = 3.5$$ dollars per item 3. **Step 2:** Compare the price per item values: - Package A: 4 - Package B: 3.6 - Package C: 3.5 4. **Step 3:** The smallest price per item is $$3.5$$ dollars in Package C. 5. **Answer:** Package C offers the best value. 1. **Problem:** A store sells two brands of juice: - Brand X: 2 liters for 5 dollars - Brand Y: 3 liters for 7 dollars Determine which brand has the cheaper cost per liter. 2. **Step 1:** Calculate the cost per liter: - Brand X: $$\frac{5}{2} = 2.5$$ dollars per liter - Brand Y: $$\frac{7}{3} \approx 2.33$$ dollars per liter 3. **Step 2:** Comparing costs per liter: - Brand X: 2.5 - Brand Y: Approximately 2.33 4. **Step 3:** Brand Y costs less per liter. 5. **Answer:** Brand Y represents the better value. 1. **Problem:** You have the option to buy pencils: - Pack 1: 12 pencils for 4 dollars - Pack 2: 15 pencils for 5.5 dollars Which pack gives the lowest cost per pencil? 2. **Step 1:** Calculate cost per pencil: - Pack 1: $$\frac{4}{12} \approx 0.333$$ dollars per pencil - Pack 2: $$\frac{5.5}{15} \approx 0.367$$ dollars per pencil 3. **Step 2:** Comparing values: - Pack 1: ~0.333 - Pack 2: ~0.367 4. **Step 3:** Pack 1 is cheaper per pencil. 5. **Answer:** Pack 1 represents the best value.