Verified Answer :

  • Identify the total cost of \$8.40 and the quantity of 7 erasers.
  • Set up the equation \(7x = 8.40\) where \(x\) is the unit price.
  • Divide the total cost by the quantity to find the price per unit: \(\frac{8.40}{7} = 1.20\).
  • The price of each individual eraser is \(\boxed{\$1.20}\).

Explanation

  1. Problem Analysis

To determine the price of a single eraser, we analyze the given information. We are told that a total of 7 identical erasers cost \$8.40. Since all erasers are identical, they each have the same price. Let \(x\) represent the price of one individual eraser in dollars.

  1. Calculating the Price per Eraser

Based on the information provided, we can express the relationship between the number of erasers, the price per eraser, and the total cost using the following equation:
\[7 \times x = 8.40\]
To find the value of \(x\), we divide the total cost by the number of erasers:
\[x = \frac{8.40}{7}\]
Performing the division, we find that:
\[x = 1.20\]
Thus, the price of each individual eraser is \$1.20.

  1. Final Conclusion

The price of each individual eraser is \(\boxed{\$1.20}\).

Examples

This calculation is a fundamental example of unit pricing, which is used in everyday shopping. For example, if you are buying a pack of identical pens or notebooks, determining the unit price helps you compare costs between different brands or store offers to ensure you are getting the best deal. Understanding how to divide a total cost by the quantity of items purchased allows for quick and efficient budgeting.