You add 7/3 tablespoons of olive oil for every 8/6 tablespoons of balsamic vinegar to make 44 tablespoons of bread dip. How much olive oil and balsamic vinegar do you use?

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LolahM486108 LolahM486108 · Answer 1 · 2022-10-26T00:12:14+02:00

Let the factor of tablespoons be x.

The number of tablespoons of olive oil = 7x/3.

The number of tablespoons of vinegar = 8x/6.

The total number of tablespoons is bread dip is 44.

[tex]\begin{gathered} \frac{7x}{3}+\frac{8x}{6}=44 \\ \frac{14x}{6}+\frac{8x}{6}=44 \\ \frac{22x}{6}=44 \\ x=12 \end{gathered}[/tex]

The number of tablespoons of olive oil used is 28.

[tex]\frac{7x}{3}=\frac{7(12)}{3}=28[/tex]

The number of tablespoons of vinegar used is 16.

[tex]\frac{8x}{6}=\frac{8(12)}{6}=16[/tex]