SOLUTION: how many ounces of vegetable oil containing 10% of saturated fats must be added to 20 ounces containing 22% saturated fats to make a salad dressing containing 16% saturated fats?
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Question 1176985: how many ounces of vegetable oil containing 10% of saturated fats must be added to 20 ounces containing 22% saturated fats to make a salad dressing containing 16% saturated fats? Found 2 solutions by mananth, ikleyn:Answer by mananth(16946) (Show Source):
You can put this solution on YOUR website!
how many ounces of vegetable oil containing 10% of saturated fats must be added to 20 ounces containing 22% saturated fats to make a salad dressing containing 16% saturated fats?
Let x ounces of vegetable oil containing 10% be required
10% -------- x
22%---------20 ( saturated fats)
mixture
16% --------(22+x) *0.16
0.1x +0.22*20 = 0.16(22+x)
0.1x + 4.4 = 3.5 + 0.16x
0.06x = 0.9
x =15
15 ounces of vegetable oil containing 10% is required
So my job now is to bring you the correct solution.
Let x be the volume of the oil containing 10% saturated fat.
Then you write this equation
0.1x + 0.22*20 = 0.16(x+20).
It says that the sum of saturated fats in ingredients is the same as that in the final mixture.
From the equation.
x = = 20.
ANSWER. 20 ounces of the vegetable oil containing 10% of saturated fat should be added.
CHECK. I will check for the concentration = 0.16 = 16%. ! Correct !
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The after-solution notice.
Since 16% is exactly half-way between the 10% and 22%, it is clear without any calculations,
that the required volume of the 10% saturated fat to add is the same as the volume of the given 22 ounces
of the 22% saturated fat.
