Question

Mr.Ramirez teaches dance. He has 18 sixth-grade students and 24 seventh-grade students. He wants to put the students in equal groups. Each group will have students of only one grade level. How many students should be in each group? How many of each group will be there?

Answer 1

He could have groups of 6, and have three groups in sixth grade and 4 in 7th grade.

Answer 2

groups of 6 students.

Explanation:

Mr. Ramirez has 18 sixth grade students and 24 seventh grade students.

He wants to put the students in equal group of only one grade students.

So we calculate the HCF of the numbers.

18 = 2 × 3 × 3

24 = 2 × 2 × 2 × 3

= 2 × 3

HCF = 6

Hence there would be 6 students group for each grade

6th grade = 6 + 6 + 6 = 18 students

7th grade = 6 + 6 + 6 + 6 = 24 students

Total 7 groups of 6 students would be made.