error analysis a contractor purchases 7 dozen pairs of padded work gloves for $102.48. she incorrectly…

error analysis a contractor purchases 7 dozen pairs of padded work gloves for $102.48. she incorrectly calculates the unit price as $14.64 per pair for the expense report\nwhat is the correct unit price? what is the error?\nthe correct unit price is $ per pair

error analysis a contractor purchases 7 dozen pairs of padded work gloves for $102.48. she incorrectly calculates the unit price as $14.64 per pair for the expense report\nwhat is the correct unit price? what is the error?\nthe correct unit price is $ per pair

Answer

Explanation:

Step1: Calculate the total number of pairs

Since 1 dozen = 12, 7 dozen = (7\times12 = 84) pairs.

Step2: Calculate the correct unit price

The total cost is (C=$102.48). Using the formula for unit - price (u=\frac{C}{n}), where (n) is the number of units. So (u=\frac{102.48}{84}). [ \begin{align*} \frac{102.48}{84}&=\frac{10248}{84\times100}\ &=\frac{10248\div12}{8400\div12}\ &=\frac{854}{700}\ & = 1.22 \end{align*} ]

Step3: Analyze the error

The contractor thought the number of pairs was (n = 7) (instead of (n=84)). The incorrect calculation was (u=\frac{102.48}{7}=14.64). The error was using 7 (the number of dozens) instead of (7\times12 = 84) (the number of pairs) in the unit - price formula.

Answer:

The correct unit price is ($1.22) per pair. The error was using the number of dozens ((7)) instead of the number of pairs ((7\times12 = 84)) in the unit - price calculation.