SOLUTION: 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 dri

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.
RELATED QUESTIONS
A 30-lb mixture of dried cranberries and blueberries costs $8.98 per pound. The mixture... (answered by Fombitz)

A 20-pound mixture of banana chips and dried apricots cost $6.89 per pound the mixture... (answered by ankor@dixie-net.com)

At the Snack Shack, dried cherries cost $3.50 per pound. Dried apricots cost $1.50 per... (answered by richwmiller)

Dried bannanas sell for .80 per quarter pound and dried apricots sell for 1.00 per... (answered by vleith)

Wholesome Foods sell dried apricots for $12.25 per pound and dried apples for $7.50 per... (answered by stanbon)

At a health food store, dried apple slices $1.80/lb. are mixed with dried banana slices... (answered by josmiceli)

a grocer prepares a mixture of 30 lb of dried fruit to sell for $4.10 per pound. for the... (answered by mananth)

The owner of a health-food store sells dried apples for $1.30 per quarter-pound, (answered by josgarithmetic)

Dried raspberries sell for $4.50 per pound and oat flakes sell for $2.80 per pound. How... (answered by Boreal)