SOLUTION: 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 15% vinegar. The chef wants to make 2

Question 1148603: 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
15%
vinegar. The chef wants to make
240
milliliters of a dressing that is
14%
vinegar. How much of each brand should she use?

Found 2 solutions by greenestamps, josgarithmetic:
Answer by greenestamps(13200) (Show Source): You can put this solution on YOUR website!

Algebraically....

x ml of 7%, plus (240-x) ml of 15%, equals 240 ml of 14%:

Straightforward basic algebra; but a bit time-consuming.

Here is a much faster and easier way to solve a "mixture" problem like this....

14% is 7/8 of the way from 7% to 15%. (7 to 15 is 8; 7 to 14 is 7; 14 is 7/8 of the way from 7% to 15%.)

That means 7/8 of the mixture should be the brand with the higher percentage.

7/8 of 240 ml is 210 ml. So

ANSWER: 210 ml of the 15% brand; the other 30 ml of the 7% brand.

Answer by josgarithmetic(39617) (Show Source): You can put this solution on YOUR website!
https://www.algebra.com/algebra/homework/Percentage-and-ratio-word-problems/Percentage-and-ratio-word-problems.faq.question.1104637.html

https://www.algebra.com/algebra/homework/word/mixtures/Mixture_Word_Problems.faq.question.1142572.html

https://www.algebra.com/algebra/homework/word/travel/Travel_Word_Problems.faq.question.1112543.html
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