Ms. Smith has 28 sixth graders and 35 seventh graders for Math. If she wants to break the two grades into identical groups without any students left over, how many students will be in each group?
Answers
For this we will take highest common factor of 35 and 28
Factors of 28
1, 2,4,7,14
Factors of 35
1, 5, 7
HCF is 7
Answer:
Two grades will be divided into 7 identical groups containing 9 students each
or can be divided into 9 groups containing 7 students each
The number of students in each group is 7
Solution:
Given that,
Smith has 28 sixth graders and 35 seventh graders for Math
she wants to break the two grades into identical groups without any students left over
To find: number of students in each group
Which means, we have to find the greatest common factor
Find the GCF of 28 and 35
The factors of 28 are: 1, 2, 4, 7, 14, 28
The factors of 35 are: 1, 5, 7, 35
Then the greatest common factor is 7
Thus number of students in each group is 7
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