The youth orchestra has 18 violinists and 24 flutists. The music director wants to place these 42 musicians in rows with only
violinists or flutists in each row. Each row must have the same
number of musicians. What is the greatest number of musicians the
director can place in each row?

6.

Step-by-step explanation:

In order to solve this, we need to find the greatest common factor.

Let us now list down some factors to make 18 and 24.

18:

1 x 18

2 x 9

3 x 6

Since there are now no longer any more factors, we shall now list down factors of 24.

24:

1 x 24

2 x 12

3 x 8

4 x 6

Now that there are no more factors left to be listed, let us find the GCF (greatest common factor)

By looking at the list, you can find out that 6 is the GCF.

Hence, the answer is 6.

8

step-by-step explanation: