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A school has 250 pupils. 3/5 of the pupils are boys. 2/15 of the boys and 1/25 of the girls are absent. How many pupils are absent?

Mathematics

ScanSolve AI Answer

Answer

C

Step-by-step solution

5 steps
  1. Calculate the number of boys in the school.

    The total number of pupils is 250, and 35\frac{3}{5} of them are boys.

    Number of boys=35×250=3×2505=3×50=150\text{Number of boys} = \frac{3}{5} \times 250 = 3 \times \frac{250}{5} = 3 \times 50 = 150
  2. Calculate the number of girls in the school.

    The rest of the pupils are girls.

    Number of girls=Total pupils−Number of boys=250−150=100\text{Number of girls} = \text{Total pupils} - \text{Number of boys} = 250 - 150 = 100
  3. Calculate the number of absent boys.

    215\frac{2}{15} of the boys are absent.

    Absent boys=215×150=2×15015=2×10=20\text{Absent boys} = \frac{2}{15} \times 150 = 2 \times \frac{150}{15} = 2 \times 10 = 20
  4. Calculate the number of absent girls.

    125\frac{1}{25} of the girls are absent.

    Absent girls=125×100=4\text{Absent girls} = \frac{1}{25} \times 100 = 4
  5. Calculate the total number of absent pupils.

    Add the number of absent boys and absent girls.

    Total absent pupils=Absent boys+Absent girls=20+4=24\text{Total absent pupils} = \text{Absent boys} + \text{Absent girls} = 20 + 4 = 24

    The total number of absent pupils is 24.

    The correct option is C.
    The final answer is 24\boxed{\text{24}}.

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