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Mathematics

In a school, 125\dfrac{1}{25} of the students were absent on a certain day. If 720 students were present on that day, what is the total number of students in the school?

Fractions

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Answer

Given,

Total students present on a certain day = 720

Part of students absent on a certain day = 125\dfrac{1}{25}

Part of students present on a certain day = 11251 - \dfrac{1}{25}

=25125=2425.= \dfrac{25 - 1}{25} \\[1em] = \dfrac{24}{25}.

Number of students present on a certain day = Part of students present on a certain day × Total number of students

720=2425× Total number of students Total number of students=720×2524 Total number of students=30×25=750.\Rightarrow 720 = \dfrac{24}{25} \times \text{ Total number of students} \\[1em] \Rightarrow \text{ Total number of students} = 720 \times \dfrac{25}{24} \\[1em] \Rightarrow \text{ Total number of students} = 30 \times 25 = 750.

Hence, total number of students in the school = 750.

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