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?

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

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the correct answer is x/3+10≥32

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