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In a school, a particular set of students were chosen in which there were 576 boys and 448 girls who were to be divided into sections of an equal number of boys alone or girls alone. Find the total number of sections thus formed?

Question

In a school, a particular set of students were chosen in which there were 576 boys and 448 girls who were to be divided into sections of an equal number of boys alone or girls alone. Find the total number of sections thus formed?

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Solution

Step 1: The first step is to find the greatest common divisor (GCD) of the number of boys and girls. The GCD is the largest number that can divide both numbers without leaving a remainder.

Step 2: The number of boys is 576 and the number of girls is 448. The GCD of 576 and 448 is 64.

Step 3: To find the total number of sections, divide the number of boys and girls by the GCD.

Step 4: The number of boys' sections is 576 / 64 = 9 sections.

Step 5: The number of girls' sections is 448 / 64 = 7 sections.

Step 6: Add the number of boys' sections and girls' sections to find the total number of sections.

Step 7: The total number of sections is 9 + 7 = 16 sections.

So, the total number of sections formed is 16.

This problem has been solved

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