Question

A ballet company uses all 22 of its principal dancers, plus 1/2 of its apprentice company in a large production. There are a total of 26 dancers in the production. How many dancers are in the apprentice company ?

Answer 1

8

Explanation:

Let us find number of apprentice dancers used in the production by subtracting number of principal dancers used in production from total number of principal dancers.

`26-22=4`

Now we will multiply 4 by 2 to find total number of apprentice dancers as we are told that ballet company used 1/2 of its apprentice dancers.

`\text{Total number of apprentice dancers}=4*2=8`

Therefore, there are 8 dancers in the apprentice company.

Answer 2

Given that total number of principal dancers = 22

We have to find about how many dancers are in the apprentice company.

So let number of dancers in the apprentice company = x

Then half of the dancers in the apprentice company means x/2

Question says that "A ballet company uses all 22 of its principal dancers, plus 1/2 of its apprentice company in a large production" so that means there are 22+x/2 dancers.

Given that there are total 26 dancers so that means we get equation:

22+x/2=26

x/2=26-22

x/2=4

x=4*2

x=8

Hence final answer is that there are total 8 dancers in the apprentice company.