Aballet 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 ?

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.

8

Step-by-step 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.

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.

Therefore, there are 8 dancers in the apprentice company.

the simplified form is

step-by-step explanation:

we want to simplify the expression,

let us change the middle bar to a normal division sign to obtain,

we multiply the first fraction by the reciprocal of the second fraction to obtain,

we factor to obtain,

we cancel the common factors to get,

we simplify to get,

the correct answer is b

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