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A chef is going to use a mixture of two brands of italian dressing. the first brand contains 5% vinegar, and the second brand contains 15% vinegar. the chef wants to make 270 milliliters of a dressing that is 11% vinegar. how much of each brand should she use?

Respuesta :

tramserran

Answer:  108 ml of 5%   and   162 ml of 15%

Step-by-step explanation:

Create a table with the information provided.  Multiply across and add down.  The last row (Total) will create the equation that can be solved for the variable.

[tex]\begin {array}{l|c|c||l}&Quantity&\%&Qty\times \%\\ Brand\ A&x&5\%=0.05&\ \qquad 0.05(x)=0.05x\\Brand\ B&270-x&15\%=0.15&0.15(270-x)=40.5-0.15x\\\ \ Total&270&11\%=0.11&0.5x+40.5-0.15x\\\end{array}\\ \\\\270(0.11)=40.5-0.1x\\29.7=40.5-0.1x\\-10.8=-0.1x\\108=x\\\\Brand\ B: 270-x = 270-(108)=162[/tex]

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