Question 1119315
<br>
Here is an alternative to the traditional algebraic solution method shown by the other tutors.  If you understand how to use it, you will get your answer to problems like this much faster and with far less effort.<br>
The key idea is that the ratio in which the two ingredients are mixed exactly determines where the percentage of the mixture lies between the percentages of the two ingredients.<br>
To see how easy this method is, let me first show you the calculations that are required; then I will explain them.<br>
We are mixing two ingredients with sugar percentages 1% and 79% to obtain a mixture of 66% sugar.  Here are all the calculations needed:<br>
79-66 = 13;
66-1 = 65.
65:13 = 5:1.
(5/6)*120 = 100; (1/6)*120 = 20.<br>
Answer: 100 ml of drink B and 20ml of drink A.<br>
Here is the explanation of the calculations....<br>
79-66=13 tells us how far the percentage of the mixture is from the percentage of drink B.
66-1=65 tells us how far the percentage of the mixture is from the percentage os drink A.
The ratio of those two differences is 65:13, or 5:1.  That means the two ingredients must be mixed in the ratio 5:1 -- i.e., one ingredient is 5/6 of the mixture and the other ingredient is 1/6 of the mixture.
Since the percentage of the mixture is closer to drink B than to drink A, the larger portion of the mixture has to be drink B.
So to make 120 ml of the mixture, the amount of drink B needed is (5/6) of 120 = 100 ml; the amount of drink A needed is (1/6) of 120 = 20 ml.