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The town chair has 48 girl and 64 boys . The teacher plans to arrange the student in equal row. What is greatest number of students that could be in each row

User Akazuko
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Final answer:

The greatest number of students per row is 16, determined by calculating the greatest common divisor (GCD) of 48 girls and 64 boys.

Step-by-step explanation:

To determine the greatest number of students that can be arranged in equal rows, we need to find the greatest common divisor (GCD) of the number of girls and boys. There are 48 girls and 64 boys, so we calculate the GCD of 48 and 64.

  1. Divide 64 by 48, which gives us a remainder of 16.
  2. Now, divide 48 by this remainder (16), which gives us 3 with no remainder.
  3. Since the last non-zero remainder is 16, the GCD of 48 and 64 is 16.

Therefore, the greatest number of students per row is 16. Thus, the optimal number of students per row is 16, ensuring an equal distribution considering both the count of girls and boys for the arrangement.

User Alex Gontmakher
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