Question

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?

Answer 1

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.

`\begin{gathered} (7x)/(3)+(8x)/(6)=44 \\ (14x)/(6)+(8x)/(6)=44 \\ (22x)/(6)=44 \\ x=12 \end{gathered}`

The number of tablespoons of olive oil used is 28.

`(7x)/(3)=(7(12))/(3)=28`

The number of tablespoons of vinegar used is 16.

`(8x)/(6)=(8(12))/(6)=16`