Question 825107: A 30-lb mixture of dried mango and dried cherries costs $8.07 per pound. The mixture contains 18 lbs of dried mango that cost $5.99 per pound. What is the cost per pound of the dried cherries?
Answer by josgarithmetic(39617)   (Show Source):
You can put this solution on YOUR website! You could try using my mixture lesson linked in my profile, but the unknown variables would be different. If you can handle the necessary algebra for the unknowns described in your exercise, you'll be able to use the two equations needed and solve for your unknowns. Your example uses "concentration" as dollars per pound instead of percent. The unknowns in your exercise would correspond to H and v in the mixture lesson.
----------Some analysis and processes--------
The problem description and question can be restated this way:
A mixture size of M pounds of dried mango and dried cherries costs $T per pound. The mixture contains u lbs of dried mango that cost $L per pound. What is the price per pound, H, of the dried cherries?
Note that still another unknown is the amount of pounds of the cherries, v. You will need two equations, and your unknown variables are H and v.
Necessary Equations:
 and 
In your example, you already know M and u, because they were given in your problem description. u = 18 pounds of dried Mango, and M = 30 pounds of the fruit mixture. This means,  . Substitute this into the T equation and solve for H:
and you should be able to continue from here and get a formula for H, and plug in the values at the end to finish.
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