Question
A company's sales in Seattle were \( \$ 330,000 \) in 2012 , while their sales in Portland were \( \$ 235,000 \) for the same year. Complete the following statements: a. Seattle's sales were larger than Portland's. \%. Portland sales were smaller than Seattle's. c. Portland sales were of Seattle's.
Ask by Savage Frazier. in the United States
Jan 25,2025
Real Tutor Solution
Tutor-Verified Answer
Answer
Seattle's sales were larger than Portland's by 40.4%. Portland sales were smaller than Seattle's by 28.8%. Portland sales were 71.2% of Seattle's.
Solution
Let's complete each statement by calculating the required percentages based on the provided sales figures:
- **Seattle's sales in 2012:** \$330,000
- **Portland's sales in 2012:** \$235,000
### a. Seattle's sales were larger than Portland's by ___%.
**Calculation:**
1. **Difference in sales:**
\[
\$330,000 - \$235,000 = \$95,000
\]
2. **Percentage difference relative to Portland's sales:**
\[
\left( \frac{\$95,000}{\$235,000} \right) \times 100\% \approx 40.4\%
\]
**Completed Statement:**
> **a.** Seattle's sales were larger than Portland's by **40.4%**.
---
### b. Portland sales were smaller than Seattle's by ___%.
**Calculation:**
1. **Difference in sales:**
\[
\$330,000 - \$235,000 = \$95,000
\]
2. **Percentage difference relative to Seattle's sales:**
\[
\left( \frac{\$95,000}{\$330,000} \right) \times 100\% \approx 28.8\%
\]
**Completed Statement:**
> **b.** Portland sales were smaller than Seattle's by **28.8%**.
---
### c. Portland sales were ___% of Seattle's.
**Calculation:**
\[
\left( \frac{\$235,000}{\$330,000} \right) \times 100\% \approx 71.2\%
\]
**Completed Statement:**
> **c.** Portland sales were **71.2%** of Seattle's.
---
### Summary of Completed Statements:
a. Seattle's sales were larger than Portland's by **40.4%**.
b. Portland sales were smaller than Seattle's by **28.8%**.
c. Portland sales were **71.2%** of Seattle's.
Reviewed and approved by the UpStudy tutoring team
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Bonus Knowledge
a. Seattle's sales were larger than Portland's by \( \$ 95,000 \). b. \( 71.21\% \). Portland sales were smaller than Seattle's, which can be calculated as \( \frac{235,000}{330,000} \times 100 \). c. Portland sales were \( 71.21\% \) of Seattle's sales, indicating they made roughly just over two-thirds of Seattle's total sales in that year.