Math Problem Statement

For a given product, in 2011, 112,965 items were sold for a total value of 180,744. How much does a unit of this product cost?

Solution

To determine the cost per unit of the product, we need to divide the total value by the number of items sold.

Given:

  • Total value = 180,744
  • Number of items sold = 112,965

The cost per unit can be calculated as: Cost per unit=Total valueNumber of items sold=180,744112,965\text{Cost per unit} = \frac{\text{Total value}}{\text{Number of items sold}} = \frac{180,744}{112,965}

Performing the division: Cost per unit=1.60\text{Cost per unit} = 1.60

Thus, the cost of a single unit of the product is 1.60.

Would you like more details or have any questions?

Here are some related questions:

  1. How would you calculate the total cost if the number of items sold was different?
  2. What would be the new unit price if the total value increased?
  3. How can rounding affect the accuracy of the unit cost calculation?
  4. What happens if the number of items is not a whole number?
  5. How does this calculation change for weighted averages?

Tip: When dividing large numbers, double-check your calculations to ensure precision, especially when rounding to two decimal places.

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Math Problem Analysis

Mathematical Concepts

Numerical Comprehension
Division
Unit Cost Calculation

Formulas

Cost per unit = Total Value / Number of Items

Theorems

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Suitable Grade Level

Grades 9-10