Math Problem Statement

An 8-ounce can of tomatoes costs $1.14. A 12-ounce can costs $1.75. Which can of tomatoes costs the least per ounce.

Solution

To determine which can of tomatoes costs the least per ounce, we need to calculate the price per ounce for both the 8-ounce and 12-ounce cans.

Step 1: Calculate the price per ounce for the 8-ounce can

Price per ounce=1.148=0.1425dollars per ounce\text{Price per ounce} = \frac{1.14}{8} = 0.1425 \, \text{dollars per ounce}

Step 2: Calculate the price per ounce for the 12-ounce can

Price per ounce=1.7512=0.1458dollars per ounce\text{Price per ounce} = \frac{1.75}{12} = 0.1458 \, \text{dollars per ounce}

Step 3: Compare the two prices

  • 8-ounce can: 0.14250.1425 dollars per ounce
  • 12-ounce can: 0.14580.1458 dollars per ounce

Since 0.1425<0.14580.1425 < 0.1458, the 8-ounce can costs less per ounce.

Conclusion:

The 8-ounce can of tomatoes costs the least per ounce.

Would you like more details or have any questions?

Here are 5 related questions to think about:

  1. How would the price comparison change if the prices were increased by 10%?
  2. What would be the total cost if you bought two 8-ounce cans instead of one 12-ounce can?
  3. How do you calculate the cost per ounce for items with different units?
  4. Can you create an equation to compare cans of different sizes?
  5. If a store offered a discount, how would that affect the price per ounce?

Tip: To quickly compare items by unit price, always divide the total cost by the quantity (weight, volume, etc.)!

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Math Problem Analysis

Mathematical Concepts

Unit Price Comparison
Division

Formulas

Price per ounce = Total cost / Quantity

Theorems

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Suitable Grade Level

Grades 5-6