Question
Toby's Pancake House there are 114 dirty coffee mugs and 86 clean coffee mugs. What ercentage of the coffee mugs at the pancake house are dirty? rite your answer using a percent sign (\%).
Ask by Schofield Griffiths. in the United States
Feb 20,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
57% of the coffee mugs are dirty.
Solution
To find the percentage of dirty coffee mugs at Toby's Pancake House, we can follow these steps:
1. **Identify the total number of coffee mugs**: This is the sum of dirty and clean mugs.
\[
\text{Total mugs} = \text{Dirty mugs} + \text{Clean mugs} = 114 + 86
\]
2. **Calculate the total number of mugs**:
\[
\text{Total mugs} = 114 + 86 = 200
\]
3. **Calculate the percentage of dirty mugs**: The formula for percentage is given by:
\[
\text{Percentage of dirty mugs} = \left( \frac{\text{Number of dirty mugs}}{\text{Total number of mugs}} \right) \times 100
\]
Substituting the known values:
\[
\text{Percentage of dirty mugs} = \left( \frac{114}{200} \right) \times 100
\]
4. **Perform the calculation**:
\[
\text{Percentage of dirty mugs} = 0.57 \times 100 = 57\%
\]
Thus, the percentage of the coffee mugs at Toby's Pancake House that are dirty is \(57\%\).
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Simplify this solution Bonus Knowledge
To find the percentage of dirty coffee mugs, we first need to calculate the total number of mugs at Toby's Pancake House. This is done by adding the number of dirty and clean mugs: 114 (dirty) + 86 (clean) = 200 (total). Next, we divide the number of dirty mugs by the total number of mugs and then multiply by 100 to get the percentage: (114 / 200) * 100 = 57%. Therefore, 57% of the coffee mugs at Toby's Pancake House are dirty! Now, if Toby's ever wants to reduce that percentage, they might consider setting up a more efficient coffee mug washing system or even introducing disposable cups for quick service!
