Question

A school chorus has 45 sixth-grade students and 70 seventh-grade students. The music director wants to make groups of performers, with the same combination of sixth- and seventh-grade students in each group. She wants to form as many groups as possible.

What is the largest number of groups that could be formed?

Answer 1

The music director can make 15 groups of performers with 6 sixth grade students and 5 seventh grade students in each group.
Explanation:
A school chorus has 90 sixth-grade students and 75 seventh-grade students.
Factor these two numbers:

Find GCF(90,75):

Now,

Therefore, the music director can make 15 groups of performers with 6 sixth grade students and 5 seventh grade students in each group.

Answer 2

5 groups with 9 sixth-grade students and 14 seventh-grade students in each.

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hope it helps