Multiple choice

The average score of 4 girls, 4 women and 2 boys is 100. If the average score of the girls is 5 more than that of the women and the average score of women is 4 more than that of the boys, then the average score of girls is

  1. 105

  2. 103.8

  3. 106

  4. 105.5

  5. 107
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Let B = x. Then W = x + 4 and G = (x + 4) + 5 = x + 9. Total sum = 4(x+9) + 4(x+4) + 2x = 10 * 100 = 1000. 4x + 36 + 4x + 16 + 2x = 1000, so 10x + 52 = 1000, 10x = 948, x = 94.8. Girls average = 94.8 + 9 = 103.8.

AI explanation

Let the average score of the boys be x. The average score of the women is x plus 4, and the average score of the girls is x plus 9. Using the overall average, the total score is 4 times x plus 4 times the quantity x plus 4 plus 2 times x plus 4 times the quantity x plus 9 equals 1000. Solving 10x plus 52 equals 1000 gives x equal to 94.8, so the girls average is 94.8 plus 9, which is 103.8.

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