Question
In: Math
When Cristina opens a bag of white and milk chocolate pieces, 20% of the chocolate pieces...
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?
Solutions
Expert Solution
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.
Note:
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