SOLUTION: A chef is using a mixture of two brands of Italian dressing. The first brand contains 10% vinegar, and the second brand contains 15% vinegar. The chef wants to make 360 milliliters

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Question 908503: A chef is using a mixture of two brands of Italian dressing. The first brand contains 10% vinegar, and the second brand contains 15% vinegar. The chef wants to make 360 milliliters of a dressing that is
13% vinegar. How much of each brand should she use?

Answer by richwmiller(17219) About Me  (Show Source):
You can put this solution on YOUR website!
a+b=360,
10*a+15*b=13*360
a=360-b
10*(360-b)+15*b=4680
3600-10b+15*b=4680
5*b=1080
b=216
a=360-b
a=144 mL at 10%
b=216 mL at 15%
check
10*144+15*216=13*360
1440+3240=4680
4680=4680
ok