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In a factory of 150 workers, 18 were abs...

In a factory of 150 workers, 18 were absent one day. What percentage were present ?

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To find the percentage of workers present in a factory where 150 workers are employed and 18 were absent, we can follow these steps: ### Step-by-Step Solution: 1. **Determine the Total Number of Workers**: The total number of workers in the factory is given as 150. 2. **Calculate the Number of Workers Absent**: The number of workers absent is given as 18. 3. **Calculate the Number of Workers Present**: To find the number of workers present, subtract the number of absent workers from the total number of workers: \[ \text{Number of workers present} = \text{Total workers} - \text{Absent workers} = 150 - 18 = 132 \] 4. **Set Up the Percentage Equation**: Let \( x \) be the percentage of workers present. We can express this as: \[ \frac{x}{100} \times 150 = 132 \] 5. **Solve for \( x \)**: Rearranging the equation gives: \[ x = \frac{132 \times 100}{150} \] 6. **Simplify the Calculation**: First, we can simplify \( \frac{132}{150} \): - Divide both the numerator and the denominator by 10: \[ \frac{132}{150} = \frac{13.2}{15} \] - Now, divide both by 3: \[ \frac{13.2 \div 3}{15 \div 3} = \frac{4.4}{5} \] - Now, multiply by 100: \[ x = 4.4 \times 20 = 88 \] 7. **Conclusion**: Therefore, the percentage of workers present is \( 88\% \). ### Final Answer: 88% of the workers were present.
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