Question

There are 20 sixth grader and 25 seventh grader in the junior scholar club. For their first community service project, the Scholar Club president wants to organize the club members into equal-size groups. Each Group will have only sixth graders or only seventh graders.
A) How many students will be in each group if each group has the greatest possible number of members?
B) If each group has the greatest possible number of club members, how many groups of sixth graders and how many groups of seventh graders will there be? Please show the work and answers.

Answer 1

When You Mutiply 25 and 20, it equals 500

Answer 2

Answer: a) Each group has 5 members as its greatest possible.

b) There are 4 groups of sixth graders and 5 groups of seventh graders.

Step-by-step explanation:

Since we have given that

Number of sixth grader = 20

Number of seventh grader = 25

We need to find the greatest possible number of members in each group will contain:

For greatest possible number we will find "Highest common factor (H. C.F) of 20 and 25 = 5

a) Each group has 5 members as its greatest possible.

b) Number of groups of sixth graders would be

$\dfrac{20}{5}=4$

Number of groups of seventh graders would be

$\dfrac{25}{5}=5$

Hence, there are 4 groups of sixth graders and 5 groups of seventh graders.