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in a town of 500 people, the 300 males have an average age of 45 and th…

Question

in a town of 500 people, the 300 males have an average age of 45 and the 200 females have an average age of 35. to the nearest year, what is the average age of the towns entire population?

40

41

42

43

44

Explanation:

Step1: Calculate total age of males

Total age of males = number of males × average age of males = \( 300 \times 45 = 13500 \)

Step2: Calculate total age of females

Total age of females = number of females × average age of females = \( 200 \times 35 = 7000 \)

Step3: Calculate total age of population

Total age of population = total age of males + total age of females = \( 13500 + 7000 = 20500 \)

Step4: Calculate average age of population

Average age = total age of population ÷ total number of people = \( \frac{20500}{500} = 41 \)

Answer:

41