Question
Of the 600 loads of clothes washed at a cleaners in one week, 450 of those loads are washed in an extra-large washer. a What percent of the clothes are washed in an extra-large washer? \( 75 \% \)
Ask by Pena Harmon. in the United States
Jan 24,2025
Real Tutor Solution
Tutor-Verified Answer
Answer
75% of the clothes are washed in an extra-large washer.
Solution
To determine what percent of the clothes are washed in an extra-large washer, you can use the following steps:
**Given:**
- Total loads of clothes washed in a week: **600**
- Loads washed in an extra-large washer: **450**
**Step 1: Set Up the Percentage Formula**
\[
\text{Percentage} = \left( \frac{\text{Part}}{\text{Whole}} \right) \times 100\%
\]
**Step 2: Plug in the Values**
\[
\text{Percentage} = \left( \frac{450}{600} \right) \times 100\%
\]
**Step 3: Simplify the Fraction**
\[
\frac{450}{600} = \frac{3}{4} = 0.75
\]
**Step 4: Calculate the Percentage**
\[
0.75 \times 100\% = 75\%
\]
**Conclusion:**
\[
\boxed{75\%}
\]
So, **75%** of the clothes are washed in an extra-large washer.
Reviewed and approved by the UpStudy tutoring team
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Simplify this solution The Deep Dive
Did you know that the concept of washing machines dates back to the 18th century? Early models were hand-cranked, making laundry a labor-intensive task. It wasn't until the 20th century that electric washing machines revolutionized the way we do laundry, saving time and energy! When calculating percentages, a common mistake is forgetting to multiply by 100 at the end! To find the percentage of clothes washed in the extra-large washer, divide the number of extra-large loads by the total loads, then multiply by 100. So it's \( \frac{450}{600} \times 100 = 75\% \). Simple math can lead to big savings on laundry day!
