Question

There are 72 boys and 90 girls on my team for the competition mr. McKelvey would like to arrange all of the students in equal rose with only girls and boys in each row what is greatest number of students that can be in each row

Answer 1

18 students

Explanation:

72 boys

90 girls

objective: to arrange in rows with equal number (n) of only boys or girls.

To find the maximum number (n) of boys or girls in each row, you need to find the GCF (Greatest Common Factor) of the numbers 72 and 90, such that n divides both numbers evenly without a remainder.

objective: to arrange in rows with an equal number (n) of only boys or girls.

To find the maximum number (n) of boys or girls in each row, we need to find the GCF (Greatest Common Factor) of the numbers 72 and 90, such that n divides both numbers evenly without a remainder.

We will use two methods to find the GCF of two numbers.

Factorize each number to powers of prime and locate the common factors.

72= 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, and 72

90= 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45 and 90

So the GCF/your answer is 18.

Answer 2

81 in each row

Explanation:

81 + 81 = 162