Multiple choice

There are 3 groups of person male, female and children. There are 20 males and the number of females and children taken together is 4 more than that of the males. The average weight of the males is 54 kg, that of females is 49 kg and that of children is 30 kg. If the average weight of the whole group is 48.25 kg, then what is the difference between the number of females and the number of children?

  1. 17

  2. 10

  3. 7

  4. 14

  5. None of these
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Total persons = 20 + 24 = 44. 54(20) + 49f + 30c = 48.25(44). Since f + c = 24, substituting gives 1080 + 49f + 30(24-f) = 2123. Solving: f = 17, c = 7. Difference = 10.

Keep practicing — related questions