Every student in a class swims, dances, or does both. Three fifths of the class swim and three fifths dance. Five students both swim and dance. How many students are in the class?

• Let total students=x, then
  Students who can only swim=(3x/5 - 5)
  Students who can only dance=(3x/5 - 5)
  Total no. of students=(3x/5 - 5)+(3x/5 - 5)+5 = x
  6x/5 - x = 5
  x = 25
  Therefore, there are 25 students in the class.
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