Multiple choice

In a class of 40 students, 45% are girls and the remaining are boys. If the average of the girls' marks is 54 and that of the boys is 46, what is the average of the whole class?

  1. 49.8

  2. 49.7

  3. 49.6

  4. 49.5

Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Girls = 45% of 40 = 18. Boys = 22. Average = (18*54 + 22*46) / 40 = (972 + 1012) / 40 = 1984 / 40 = 49.6.

AI explanation

Using the percentage given, the number of girls is 45 percent of 40, which equals 18, leaving 22 boys. The total marks for the girls equals 18 times 54, resulting in 972. The total marks for the boys equals 22 times 46, resulting in 1012. Add these totals to get a class sum of 1984 and divide by the total number of 40 students. The class average is 49.6.