SOLUTION: A cook needs to mix a regular ranch dressing containing 47​% fat with a light ranch dressing containing 37​% fat to result in 7 cups of a dressing containing 42​%

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Question 1070179: A cook needs to mix a regular ranch dressing containing 47​% fat with a light ranch dressing containing 37​% fat to result in 7 cups of a dressing containing 42​% fat. How many cups of each kind of dressing should be​ mixed?
The mixture should contain
how many cups of regular dressing and
how many cups of light dressing?
Thank you SO much for the help!

Answer by Boreal(15235)   (Show Source): You can put this solution on YOUR website!
42% is half way between the two percentages, so use 3.5 cups of each.
one can say x cups of 47%
7-x cups of 37%
.47(x)+(7-x)(.37)=7(.42)=2.94
.47x+2.59-.37x=2.94
.10x=0.35
x=3.5 cups

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