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

The contractor purchases 6 dozen pairs of padded work gloves for $89.28. This means:

\[
6 \times 12 = 72 \text{ pairs of gloves}.
\]

The total cost for these 72 pairs is $89.28. To find the correct unit price per pair, we need to divide the total cost by the number of pairs:

\[
\frac{89.28}{72} = 1.24 \text{ dollars per pair}.
\]

So, the correct unit price is **$1.24** per pair.

### Identifying the error:
The contractor incorrectly calculated the unit price as $14.88 per pair, which seems to be a misunderstanding. It looks like the $14.88 might have come from dividing the total cost by the number of dozens (6) rather than the actual number of pairs (72):

\[
\frac{89.28}{6} = 14.88 \text{ dollars per dozen}.
\]

Thus, the error was in confusing the price per dozen with the price per pair.

Let me know if you'd like further clarification or have any questions! Here are some follow-up questions:

1. What would be the total cost if the unit price per pair was $2.00 instead of $1.24?
2. How would you calculate the total cost for 8 dozen pairs of gloves if the price per pair is known?
3. What is the formula for finding the unit price when given a total cost and quantity?
4. How does the mistake in this problem highlight the importance of understanding units?
5. If the contractor needed 10 dozen pairs, how much would it cost at the correct unit price?

**Tip**: Always double-check the units (dozens vs. pairs) when calculating prices to avoid similar errors.

A contractor purchases 6 dozen pairs of padded work gloves for $89.28. She incorrectly calculates the unit price as $14.88 per pair for the expense report. What is the correct unit price? What is the error?

Solve an error analysis problem where a contractor miscalculates the unit price for 6 dozen pairs of padded work gloves. Learn the correct way to divide the total cost by quantity and identify the error caused by confusing price per dozen with price per pair. Suitable for Grade 7 math students.

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