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In a class of 50 students, there are 22 girls who scored an average of 35 marks in the test. What is the average marks of the boys, if the…

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In a class of 50 students, there are 22 girls who scored an average of 35 marks in the test. What is the average marks of the boys, if the class average is 42 marks?
  • A50
  • B52.5
  • C47.5
  • D55
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Discussion 1

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CCommunity
Let the average marks scored by boys be a.

According to the problem statement

⇒ Average of class = 42 = (22 × 35 + 28 × a)/50

⇒ 2100 – 770 = 28a

⇒ a = 1330/28 = 47.5

∴ Boys average marks are 47.5