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      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?
      A 245 Correct Answer Incorrect Answer
      B 345 Correct Answer Incorrect Answer
      C 500 Correct Answer Incorrect Answer
      D 440 Correct Answer Incorrect Answer
      E None of these Correct Answer Incorrect Answer

      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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