Respuesta :
In this question, there is two class with a different number of students that need to be divided equally. Then you need to determine the number of greatest common factor (GCF) for both numbers. The number factor would be:
28= 7 x 2 x 2
35= 7 x 5
The only common factor in both numbers is 7, so making 7 groups will be the answer.
28= 7 x 2 x 2
35= 7 x 5
The only common factor in both numbers is 7, so making 7 groups will be the answer.
Ms Smith has 28 sixth graders and 35 seventh graders
she wants to break them down into groups with each group having the same number of students from each grade
for this we have to find the highest common factor of 28 and 35 to see by which both 28 and 35 are divisible by
factors of 28 and 35 are as follows
28 - 1,2,4,7,14,28
35 - 1,5,7,35
the highest common factor both numbers is 7
therefore Ms Smith can break them down into 7 groups
each group will have
28 / 7 = 4 sixth graders
35 / 7 = 5 seventh graders
so each group will have 4 sixth graders and 5 seventh graders
so in each group there will be 4 + 5 = 9 students
she will break them down into 7 groups
each group has 9 students
