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2025/26 AHSMC Part 1 Problem 1

Problem 1 of 16

Two sections of a Math 3030 class take an exam. The maximum possible score is 2020 points. The average score of the 1010 students in the first section is 1515 points. The average score of the 2020 students in the second section is 1818 points. What is the overall average score of all 3030 students combined?

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Solution

The 1010 students in the first section scored 150150 points in total and the 2020 students in the second section scored 360360 points. The overall average is 150+36030=17. \frac{150+360}{30} = 17. The answer is (D).