SOLUTION: Sophia was given a box of chocolates for her birthday and ate two-thirds of them right away. The next day she ate one-third of the remainder and the following day she ate two-thir

Algebra ->  Percentage-and-ratio-word-problems -> SOLUTION: Sophia was given a box of chocolates for her birthday and ate two-thirds of them right away. The next day she ate one-third of the remainder and the following day she ate two-thir      Log On


   

Question 1186183: Sophia was given a box of chocolates for her birthday and ate two-thirds of them right away. The next day she ate one-third of the remainder and the following day she ate two-thirds of the remaining chocolates before stopping. Only 2 pieces of chocolates were left. How many chocolates were in the box to start?
Answer by josgarithmetic(39616) About Me  (Show Source):
You can put this solution on YOUR website!
At start, c amount of chocolates.

After day 1, c%2F3 remained.
After day 2, %282%2F3%29%28c%2F3%29 remained.
After day 3, %281%2F3%29%282%2F3%29%28c%2F3%29 remained, which was 2 pieces.

%281%2F3%29%282%2F3%29%281%2F3%29c=2
-
2c%2F27=2
c%2F27=1
highlight%28c=27%29