Question 740890
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The response from tutor @ikleyn shows a standard formal algebraic solution for mixture problems like this.<br>
You can also solve this or any similar mixture problem using the idea of weighted averages; the problem can be solved quickly with simple mental arithmetic if the numbers in the problem are "nice".<br>
In this problem the price per pound of the mixture is 3/4 of the way from the lower price to the higher price; that means 3/4 of the mixture must be the more expensive ingredient.<br>
3/4 of 30 pounds is 22.5 pounds, so the mixture must contain 22.5 pounds of the Breakdown flavor, which means 30-22.5 = 7.5 pounds of the Nellie flavor.<br>
ANSWER: 7.5 pounds<br>