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put this solution on YOUR website! How many kilograms of chocolates costing Php80.00 per kilogram must be mixed with 6 kilograms of chocolates that cost Php100.00 per kilogram to produce a mixture that can be sold for Php85.00 per kilogram?
Let x = number of kilograms of lower priced chocolates to be used.
There are x kilograms of lower-priced chocolate
There are 6 kilograms of higher-priced chocolates
There are x+6 kilograms of mixed chocolates
Value of the lower-priced chocolates = (Php80.00)(x)
Value of the higher priced chocolates = (Php100.00)(6)
Value of the mixed chocolates = (Php85.00)(x+6)
Value Value Value
of of of
lower + higher = mixed
priced priced chocolates
chocolates chocolates
80.00x + (100.00)(6) = (85.00)(x+6)
80x + 600 = 85(x + 6)
80x + 600 = 85x + 510
-85x = -85x
------------------------
-5x + 600 = 510
- 600 -600
-----------------------
-5x = -90
x = 18
18 kilograms of the lower-priced chocolates.
Edwin
