Question
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\begin{tabular}{l} Question 16 \\ \hline A clothing store charges \( \$ 25 \) for 4 t-shirts. A student says that the \\ unit price is \( \$ 0.16 \) per t-shirt. What is the error? What is the correct \\ unit price? \end{tabular}

Ask by Harris Erickson. in the United States
Dec 16,2024

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Tutor-Verified Answer

Answer

The correct unit price is \( \$6.25 \) per t-shirt. The student's error was in calculating the unit price as \( \$0.16 \).

Solution

To find the unit price of the t-shirts, we need to divide the total cost by the number of t-shirts. The total cost for 4 t-shirts is \( \$25 \). To find the unit price, we calculate: \[ \text{Unit Price} = \frac{\text{Total Cost}}{\text{Number of T-shirts}} = \frac{25}{4} \] Calculating this gives: \[ \frac{25}{4} = 6.25 \] So, the correct unit price is \( \$6.25 \) per t-shirt. The student's claim that the unit price is \( \$0.16 \) per t-shirt is incorrect. The error likely arises from a miscalculation or misunderstanding of how to divide the total cost by the number of items.

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Bonus Knowledge

The student's calculation of the unit price is incorrect because they likely divided wrongly. To find the unit price, you need to divide the total cost by the number of t-shirts. In this case, \( \$ 25 \) divided by 4 t-shirts equals \( \$ 6.25 \) per t-shirt, not \( \$ 0.16 \). The error often comes from misunderstanding how to calculate unit prices. A common mistake is to misplace the decimal point or misinterpret the division. Always make sure you divide the total cost by the total quantity to get an accurate unit price!

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