Multiple choice

The number of students in section A and section B of a class are 40 and 52, respectively. The average score in mathematics of all the students is 75. If the average score of the students in A is 20% more than that of students in B, then what is the average score of students in B?

  1. 71

  2. 65

  3. 69

  4. 63
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C Correct answer
Explanation

Let average of B be x. Average of A = 1.2x. Total sum = 40 * 1.2x + 52 * x = 92 * 75. 48x + 52x = 6900. 100x = 6900, x = 69.

AI explanation

The total score of all students is 92 students times 75, which equals 6900. Let the average score of section B be x, making the average score of section A 1.2x. The equation for the total score is 40 times 1.2x plus 52 times x equals 6900, which simplifies to 100x equals 6900. Solving for x gives an average score for section B of 69.

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