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      Question

      In a class, the number of girls is 20% more than that of

      boys. The number of students in the class is 88. In a mathematics test, the average score of boys is 30% more than that of girls. If the average score of all the students is 75, then what is the average score of the boys?
      A 70 Correct Answer Incorrect Answer
      B 85.8 Correct Answer Incorrect Answer
      C 66 Correct Answer Incorrect Answer
      D 76.2 Correct Answer Incorrect Answer

      Solution

      Let the number of boys be x. Then, the number of girls is 1.2x. Given:  x+1.2x=88 x=40 (boys), 1.2x=48 (girls)  Let the average score of girls be g, and boys be b = 1.3g. Total score equation: 40b+48g=6600 =40×1.3g+48g =6600 52g+48g=6600 100g =6600 g=66 So, b=1.3 x 66 = 85.8. Thus, the average score of boys is 85.8.

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