Question

When Cristina opens a bag of white and milk chocolate pieces, 20% of the chocolate pieces are white. After Cristina eats 10 milk chocolate pieces, the ratio of brown chocolate to white chocolate is 2 to 3. How many pieces of chocolate are left in the bag?

Answer 1

Let the number of white and milk chocolate pieces in Christina’s bag be x. Then, the number of white chocolate pieces in Christina’s bag is ( 20/100)x= 0.2x so that the number of milk chocolate pieces in Christina’s bag is x -0.2x = 0.8x. After Cristina eats 10 milk chocolate pieces, the number of the remaining milk chocolate pieces in Christina’s bag is 0.8x-10. Since the ratio of brown chocolate to white chocolate is 2 to 3, the number of the remaining white chocolate pieces in Christina’s bag is (3/2)(0.8x-10) = 1.2x -15. Thus, the total number of the remaining white and milk chocolate pieces in Christina’s bag is (1.2x -15) +(0.8x-10) = 2x-25. Since the original number of white and milk chocolate pieces in Christina’s bag was x and since Christina has eaten 10 chocolate pieces, therefore x-10 = 2x-25 or, 2x-x = 25-10 or, x = 15. Hence, the number of the remaining pieces of chocolate are left in the bag is x-10 = 15-10 = 5.

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