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​%

Algebra ->  Finance -> 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​%      Log On


   



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) About Me  (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