SOLUTION: A chef is using a mixture of two brands of Italian dressing. The first brand contains 5% vinegar, and the second brand contains 10% vinegar. The chef wants to make 270 milliliters

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Question 272620: A chef is using a mixture of two brands of Italian dressing. The first brand contains 5% vinegar, and the second brand contains 10% vinegar. The chef wants to make 270 milliliters of a dressing that is 6% vinegar. How much of each brand should she use?

Answer by mananth(16946) About Me  (Show Source):
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A chef is using a mixture of two brands of Italian dressing. The first brand contains 5% vinegar, and the second brand contains 10% vinegar. The chef wants to make 270 milliliters of a dressing that is 6% vinegar. How much of each brand should she use?
Let x be the quantity of 5% vinegar
5%------------------------- 10%---------------------- 6% mix
x---------------------------270-x---------------------270
0.05x+0.1*(270-x) = 0.06 * 270
0.05x+27-0.1x= 16.2
- 0.05x = 16.2-27
-0.05x= -10.8
x= -10.8/ - 0.05
x=216 ml