Question

A chef is going to use a mixture of two brands of Italian dressing. The first brand contains 7% vinegar, and the second brand contains 12% vinegar. The chef wants to make 270 milliliters of a dressing that is 9% vinegar. How much of each brand should she use?

Answer 1

Answer: There is 162 ml of first brand and 108 ml of second brand.

Explanation:

Since we have given that

Percentage of vinegar that the first brand contains = 7%

Percentage of vinegar that the second brand contains = 12%

Percentage of vinegar in mixture = 9%

Total amount of dressing = 270 ml

We will use "Mixture and Allegation":

First brand Second brand

7% 12%

9%

--------------------------------------------------------

12%-9% : 9%-7%

3% : 2%

So, ratio of first brand to second brand in a mixture is 3:2.

So, Amount of first brand she should use is given by

`(3)/(5)* 270\\\\=162\ ml`

Amount of second brand she should use is given by

`(2)/(5)* 270\\\\=108\ ml`

Hence, there is 162 ml of first brand and 108 ml of second brand.