Question
Tracey paid \( \$ 155 \) for an item that was originally priced at \( \$ 530 \). What percent of the original price did Tracey pay? Round to the nearest tenth of a percent. percent Submit Question
Ask by Kelly Craig. in the United States
Feb 22,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
Tracey paid 29.2% of the original price.
Solution
To find the percentage of the original price that Tracey paid, we can use the formula:
\[ \text{Percentage} = \left( \frac{\text{Amount Paid}}{\text{Original Price}} \right) \times 100 \]
Given:
- Amount Paid = $155
- Original Price = $530
Substitute the values into the formula:
\[ \text{Percentage} = \left( \frac{155}{530} \right) \times 100 \]
Now, we can calculate the percentage.
Calculate the value by following steps:
- step0: Calculate:
\(\left(\frac{155}{530}\right)\times 100\)
- step1: Reduce the fraction:
\(\frac{31}{106}\times 100\)
- step2: Reduce the numbers:
\(\frac{31}{53}\times 50\)
- step3: Multiply:
\(\frac{31\times 50}{53}\)
- step4: Multiply:
\(\frac{1550}{53}\)
Tracey paid approximately 29.2% of the original price of $530.
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Simplify this solution Extra Insights
Tracey paid approximately \( 29.2\% \) of the original price. This is calculated by taking the amount Tracey paid, \( 155 \), divided by the original price, \( 530 \), and multiplying by \( 100 \) to convert it to a percentage. To find this, you can use the formula: \( \left( \frac{\text{Paid Amount}}{\text{Original Price}} \right) \times 100 \). Plugging in the numbers gives you \( \left( \frac{155}{530} \right) \times 100 \approx 29.245 \), which rounds to \( 29.2\% \).
