A contractor purchases 4 dozen pairs of padded work gloves for ​$59.52. He incorrectly calculates the unit price as ​$14.88 per pair for the expense report. What is the correct unit​ price? What is the​ error?


To solve this problem, let's break it down step-by-step.

### 1. Calculate the Correct Unit Price

First, we need to determine the correct unit price for one pair of work gloves. 

- The contractor purchases 4 dozen pairs of padded work gloves.
- One dozen equals 12, so 4 dozen equals:

\[
4 \times 12 = 48 \text{ pairs}
\]

- The total cost for 48 pairs is $59.52. To find the unit price per pair, we divide the total cost by the number of pairs:

\[
\text{Correct Unit Price} = \frac{59.52}{48}
\]

Let's compute this:

\[
\text{Correct Unit Price} = 1.24 \text{ dollars per pair}
\]

### 2. Identify the Error in the Expense Report

The contractor incorrectly calculated the unit price as $14.88 per pair. 

- The **error** is the difference between the incorrect unit price and the correct unit price:

\[
\text{Error} = 14.88 - 1.24 = 13.64
\]

This means the contractor overestimated the unit price by $13.64 per pair.

### Summary of Findings

- **Correct unit price**: $1.24 per pair
- **Error**: The contractor's incorrect calculation overestimated the unit price by $13.64 per pair.

Would you like more details or have any questions?

Here are 5 related questions to explore further:

1. How would the total expense change if the contractor bought 6 dozen pairs at the same price per dozen?
2. What would be the total cost if the contractor correctly used the unit price of $1.24 in his report?
3. If the contractor buys 10 dozen pairs, what would the total cost be?
4. How would the expense report change if each pair of gloves had an additional 5% sales tax applied?
5. What would be the cost per dozen if the total price was instead $72.00 for the 4 dozen pairs?

**Tip:** Always double-check calculations to avoid significant errors in financial reporting.

Learn how to calculate the correct unit price of padded work gloves after a contractor's error in reporting. This problem involves division and understanding unit prices. Suitable for students in Grades 5-7.

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