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 Balsami

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:

28 tablespoons of olive oil and 16 tablespoons of balsamic vinegar are used to make 44 tablespoons of bread dip.

Step-by-step explanation:

Let the common factor of tablespoons be x.

Number of tablespoons:

Olive oil: (7/3)x

Balsamic vinegar: (8/6)x

Equation:

(7/3)x + (8/6)x = 44

(7/3)x + (4/3)x = 44

(11/3)x = 44

x = 44(3/11)

x = (40(3)

x = 12

Substitute 12 to x:

Number of tablespoons:

Olive oil: (7/3)x  ⇒  (7/3)(12) = 28 tablespoons

Balsamic vinegar: (8/6)x  ⇒  (8/6)(12) = 16 tablespoons

28 tablespoons of olive oil and 16 tablespoons of balsamic vinegar are used to make 44 tablespoons of bread dip.

Check:

28 + 16 = 44

44 = 44 (True)