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A chef is going to use a mixture of two brands of italian dressing. the first brand contains 7% vinegar and the second brand contains 12% vinegar. the chef wants to make 280 milliliters of a dressing that is 9% vinegar. how much of each brand should she use

Respuesta :

We know that

• The first brand contains 7% vinegar.

,

• The second brand contains 12% vinegar.

,

• The chef wants 280 milliliters with 9% vinegar.

Using the given information, we can express the following equation.

[tex]0.07x+0.12(280-x)=0.09(280)[/tex]

Notice that 0.07x represents the first brand, 0.12(280-x) represents the second brand, and 0.08(280) represents the final product the chef wants to make.

Let's solve for x.

[tex]\begin{gathered} 0.07x+33.6-0.12x=25.2 \\ -0.05x=25.2-33.6 \\ -0.05x=-8.4 \\ x=\frac{-8.4}{-0.05} \\ x=168 \end{gathered}[/tex]

Therefore, the chef needs 168 of the first brand and 112 of the second brand.

Notice that 280-168 = 112.

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