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Sticky Note
In a class, 2/7 of the students are boys and the rest are girls. If 1/4 of the boys and 3/4 of the girls are present, then what part of the total number of students is absent?
  1. 17/28
  2. 17/25
  3. 11/28
  4. None of these
Explanation

Let's assume the total number of students is 28x (LCM of 7 and 4 is 28).

Number of boys = (2/7) × 28x = 8x

Number of girls = 28x - 8x = 20x

Number of boys present = (1/4) × 8x = 2x

Number of boys absent = 8x - 2x = 6x

Number of girls present = (3/4) × 20x = 15x

Number of girls absent = 20x - 15x = 5x

Total number of students absent = 6x + 5x = 11x

Part of the total number of students absent = 11x / 28x = 11/28

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