Subjects algebra

Mean Daily Wage 1E8A79

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Mean Daily Wage 1E8A79


1. **State the problem:** We need to find the mean daily wage of all workers in the company. 2. **Given data:** - 13 workers earn 700.16 per day - 26 workers earn 50.70 per day - The rest earn 27.43 per day 3. **Formula for mean:** $$\text{Mean} = \frac{\text{Total sum of all wages}}{\text{Total number of workers}}$$ 4. **Calculate total wages for each group:** - Total for first group: $13 \times 700.16 = 9102.08$ - Total for second group: $26 \times 50.70 = 1318.20$ 5. **Find the number of workers in the third group:** Let the total number of workers be $N$. The problem does not specify $N$, so we assume the rest means the remaining workers after 13 and 26. 6. **Calculate total wages for the third group:** If the rest is $R$ workers, total wages for them is $R \times 27.43$. 7. **Calculate mean wage:** $$\text{Mean} = \frac{9102.08 + 1318.20 + 27.43R}{13 + 26 + R} = \frac{10420.28 + 27.43R}{39 + R}$$ Since the problem does not specify the number of workers in the rest group, we cannot find a numeric mean without that information. **If the rest is zero (no other workers), then:** $$\text{Mean} = \frac{9102.08 + 1318.20}{13 + 26} = \frac{10420.28}{39} = 267.20$$ **If the rest is given, substitute $R$ to find the mean.**