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The ratio of boys and girls in a class was 11:13. 8 girls and 4 boys join the class from this academic year and the ratio becomes 4:5. Find the strength of the class.

Correct answer: D. 108

  • A. 96
  • B. 68
  • C. 72
  • D. 108

Explanation

Let the original numbers be 11k boys and 13k girls. After the additions, (11k + 4):(13k + 8) = 4:5, so 5(11k + 4) = 4(13k + 8), giving k = 4; the new strength is 44 + 4 + 52 + 8 = 108 students. The likely alternative is option a, 96 students, which is only the original class strength before the new students joined.

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