Question

There is only one freshman in the cast of a high school play. There are 6 sophomores and 11 juniors. One third of the cast are seniors? How many seniors?

Answer 1

Let X = total students in musical

 

Then (1/3) X = number of seniors

 

  1 + 6 + 11 + (1/3)X = X

 

              18 + (1/3)X = X

 

                           18 = (2/3)X

 

                 (3/2)(18) = X

 

                          27 = X

 

27 students in musical of which one third are seniors,  

there are 9 seniors in musical

hope this helped!