SOLUTION: A chef has one cheese that contains 45% fat and another cheese that contains 20% fat. How many grams of each cheese should she use in order to obtain 30 grams of a cheese mixture t
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Question 702767: A chef has one cheese that contains 45% fat and another cheese that contains 20% fat. How many grams of each cheese should she use in order to obtain 30 grams of a cheese mixture that is 30% fat? Answer by josmiceli(19441) (Show Source):
You can put this solution on YOUR website! Let = grams of 45% fat cheese needed
Let = grams of 20% fat cheese needed
given:
(1)
(2)
---------------------------
(2)
(2)
Multiply both sides of (1) by
and subtract (1) from (2)
(2)
(1)
and, since
(1)
(1)
(1)
The chef needs 12 grams of the 45% cheese
and 18 grams of the 20% cheese
check answer:
(2)
(2)
(2)
(2)
(2)
OK
