Question 1101215
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The other tutor provided a solution using a variation of the standard algebraic method for solving "mixture" problems.<br>
There is a much easier method you can use, if you understand it.<br>
Think of the percentages of the two ingredients and the final mixture on a number line: 75, 76, and 85.<br>
The mixture percentage 76 is 1/10 of the distance from 75 to 85.  (From 75 to 85 is 10; from 75 to 76 is 1.)<br>
That means 1/10 of the mixture must be the 85% ingredient.  With a total of 20 gallons of the mixture, that means 2 gallons.<br>
Answer: use 2 gallons of the 85% sugar cinnamon-flavored solution and 18 gallons of the 75% sugar cherry flavored solution.