To serve vinaigrette to 165 people, order approximately 3.2291 liters of oil and 1.6396 liters of vinegar, maintaining a 3:1 ratio.
To determine the amount of oil and vinegar needed for the vinaigrette, we need to calculate the total volume of dressing required based on the given serving size. Each of the 165 people will be served 2 tablespoons of dressing.
Firstly, we convert the volume from tablespoons to liters. One tablespoon is approximately 0.01479 liters. Therefore, for each person, the dressing volume is 2 tablespoons * 0.01479 liters/tablespoon = 0.02958 liters/person.
Next, we multiply this by the total number of people (165) to find the overall volume needed:
Total volume = 0.02958 liters/person * 165 people = 4.8687 liters
Now, the traditional vinaigrette ratio is 3 parts oil to 1 part vinegar. Therefore, we can express the total volume as 4 parts, where 3 parts are oil and 1 part is vinegar.
Let x be the amount of oil and y be the amount of vinegar. The system of equations is:
1. x + y = 4.8687 (total volume)
2. 3x = y (vinaigrette ratio)
Solving this system, we find that
liters of oil and
liters of vinegar.
The question probable may be:
You are going to serve vinaigrette to 165 people at a luncheon. Each person will be served 2 tablespoons of dressing on the side. How many liters of oil and how many liters of vinegar should you order to make the vinaigrette for this luncheon?