Question
At an event, the average number of men and women
attending is 700. 65% of the men and 35% of the women are adults. If the total number of children at the event is 680, what is the average of the number of male children and adult women?Solution
ATQ,
Let the number of men and women be a and b, respectively. Total people = 700 × 2 = 1400 Total adults = 1400 – 680 = 720 Adult men = 0.65a Adult women = 0.35b Equation (1): 0.65a + 0.35b = 720 Children = 0.35a + 0.65b = 680 → Equation (2): 0.35a + 0.65b = 680 Solving both: We get a = 800, b = 600 Male children = 0.35 × 800 = 280 Female adults = 0.35 × 600 = 210 Average = (280 + 210)/2 = 245
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