Question
Tracey paid \( \$ 165 \) for an item that was originally priced at \( \$ 370 \). What percent of the original price did Tracey pay? Round to the nearest tenth of a percent. percent
Ask by Ross George. in the United States
Feb 03,2025
Real Tutor Solution
Tutor-Verified Answer
Answer
Tracey paid 44.6% 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 = $165
- Original Price = $370
Substitute the values into the formula:
\[ \text{Percentage} = \left( \frac{165}{370} \right) \times 100 \]
Now, we can calculate the percentage.
Calculate the value by following steps:
- step0: Calculate:
\(\left(\frac{165}{370}\right)\times 100\)
- step1: Reduce the fraction:
\(\frac{33}{74}\times 100\)
- step2: Reduce the numbers:
\(\frac{33}{37}\times 50\)
- step3: Multiply:
\(\frac{33\times 50}{37}\)
- step4: Multiply:
\(\frac{1650}{37}\)
Tracey paid 44.59% of the original price of $370.
Reviewed and approved by the UpStudy tutoring team
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Simplify this solution Extra Insights
To find out what percent of the original price Tracey paid, you can use the formula: \[ \text{Percent Paid} = \left( \frac{\text{Amount Paid}}{\text{Original Price}} \right) \times 100 \] Substituting Tracey's values: \[ \text{Percent Paid} = \left( \frac{165}{370} \right) \times 100 \approx 44.6\% \] So, Tracey paid approximately 44.6% of the original price. To round it to the nearest tenth of a percent, we keep it as 44.6%.
