Answer:
The amount of olive oil and balsamic vinegar to use are;
You use <u>22</u> tablespoons of olive oil and <u>12</u> tablespoons of balsamic vinegar
Step-by-step explanation:
From the question, we have;
The number of tablespoons of olive oil added for every 3/2 tablespoon of balsamic vinegar = 11/4 tablespoons
Therefore, in the mixture, the ratio of olive oil to balsamic vinegar = 11/4:3/2
Let 'x', and 'y' represent the the number of tablespoons of olive oil and balsamic vinegar, in the mixture 34 tablespoons of bread dip, we can write;
x + y = 34 tablespoons
x/y = (11/4)/(3/2) = 11/6
∴ x = 11/6 × y
∴ x + y = 11/6 × y + y = 34
11/6 × y + y = 17·y/6 = 34
17·y = 34 × 6 = 204
y = 204/17 = 12
The number of tablespoons of balsamic vinegar in the bead dip, y = 12 tablespoons of balsamic vinegar
x = 11/6 × y = 11/6 × 12 = 22
The number of tablespoons of olive oil in the bead dip, x = 22 tablespoons of olive oil.