"Lets have some!" The kids around Betty as she checked the candies. " Okay, but I'll have a few myself," she told them. "It's by age. A third of them for Bill, a quarter for Eve, a fifth for Linda, and a sixth for Bruce. That leaves just six for me." How many were there in all? A. 200 B. 180 C. 120 D. 90 E. None of these

Poornima

• Dec 29th, 2005

 

   Let the number of candies be 'x'

      A third of them for Bill so = x/3

        A quarter for Eve so = x/4

        A fifth for Linda so = x/5

        A sixth for Bruce so = x/6

        Betty is left with 6 candies.

       So,

      x/3 + x/4 + x/5 + x/6 + 6 = x

      Solving this we get the value of x=120.(so C is the ans)